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Finding the Third Proportional to 129,755,922 and 181,406,427

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Solution

The third proportional to 129,755,922 and 181,406,427 is: 253,616,877.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,755,922 : 181,406,427 = 181,406,427 : x
  2. Step 2: Convert to fraction form
    129,755,922/181,406,427 = 181,406,427/x
  3. Step 3: Cross multiply
    129,755,922x = 181,406,427 × 181,406,427
  4. Step 4: Simplify right side
    129,755,922x = 32,908,291,756,906,328
  5. Step 5: Solve for x
    x = 32,908,291,756,906,328/129,755,922
  6. Step 6: Final answer
    x = 253,616,877.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.