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Finding the Third Proportional to 163,448,546 and 243,755,427

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Solution

The third proportional to 163,448,546 and 243,755,427 is: 363,519,343.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,448,546 : 243,755,427 = 243,755,427 : x
  2. Step 2: Convert to fraction form
    163,448,546/243,755,427 = 243,755,427/x
  3. Step 3: Cross multiply
    163,448,546x = 243,755,427 × 243,755,427
  4. Step 4: Simplify right side
    163,448,546x = 59,416,708,191,952,328
  5. Step 5: Solve for x
    x = 59,416,708,191,952,328/163,448,546
  6. Step 6: Final answer
    x = 363,519,343.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.