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Finding the Third Proportional to 122,129,100 and 263,389,536

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Solution

The third proportional to 122,129,100 and 263,389,536 is: 568,038,638.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,129,100 : 263,389,536 = 263,389,536 : x
  2. Step 2: Convert to fraction form
    122,129,100/263,389,536 = 263,389,536/x
  3. Step 3: Cross multiply
    122,129,100x = 263,389,536 × 263,389,536
  4. Step 4: Simplify right side
    122,129,100x = 69,374,047,674,295,296
  5. Step 5: Solve for x
    x = 69,374,047,674,295,296/122,129,100
  6. Step 6: Final answer
    x = 568,038,638.41

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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.