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Finding the Third Proportional to 137,020,336 and 323,343,464

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Solution

The third proportional to 137,020,336 and 323,343,464 is: 763,032,691.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,020,336 : 323,343,464 = 323,343,464 : x
  2. Step 2: Convert to fraction form
    137,020,336/323,343,464 = 323,343,464/x
  3. Step 3: Cross multiply
    137,020,336x = 323,343,464 × 323,343,464
  4. Step 4: Simplify right side
    137,020,336x = 104,550,995,711,519,296
  5. Step 5: Solve for x
    x = 104,550,995,711,519,296/137,020,336
  6. Step 6: Final answer
    x = 763,032,691.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.