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Finding the Third Proportional to 139,755 and 301,641

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Solution

The third proportional to 139,755 and 301,641 is: 651,048.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,755 : 301,641 = 301,641 : x
  2. Step 2: Convert to fraction form
    139,755/301,641 = 301,641/x
  3. Step 3: Cross multiply
    139,755x = 301,641 × 301,641
  4. Step 4: Simplify right side
    139,755x = 90,987,292,881
  5. Step 5: Solve for x
    x = 90,987,292,881/139,755
  6. Step 6: Final answer
    x = 651,048.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.