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Finding the Third Proportional to 340,101,180,301.50 and 730,674,292,635

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Solution

The third proportional to 340,101,180,301.50 and 730,674,292,635 is: 1,569,782,620,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,101,180,301.50 : 730,674,292,635 = 730,674,292,635 : x
  2. Step 2: Convert to fraction form
    340,101,180,301.50/730,674,292,635 = 730,674,292,635/x
  3. Step 3: Cross multiply
    340,101,180,301.50x = 730,674,292,635 × 730,674,292,635
  4. Step 4: Simplify right side
    340,101,180,301.50x = 533,884,921,917,657,636,143,104
  5. Step 5: Solve for x
    x = 533,884,921,917,657,636,143,104/340,101,180,301.50
  6. Step 6: Final answer
    x = 1,569,782,620,114.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.