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Finding the Third Proportional to 486,974.25 and 748,929.38

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Solution

The third proportional to 486,974.25 and 748,929.38 is: 1,151,796.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,974.25 : 748,929.38 = 748,929.38 : x
  2. Step 2: Convert to fraction form
    486,974.25/748,929.38 = 748,929.38/x
  3. Step 3: Cross multiply
    486,974.25x = 748,929.38 × 748,929.38
  4. Step 4: Simplify right side
    486,974.25x = 560,895,208,737.89
  5. Step 5: Solve for x
    x = 560,895,208,737.89/486,974.25
  6. Step 6: Final answer
    x = 1,151,796.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.