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Finding the Third Proportional to 338,500 and 720,472

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Solution

The third proportional to 338,500 and 720,472 is: 1,533,470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,500 : 720,472 = 720,472 : x
  2. Step 2: Convert to fraction form
    338,500/720,472 = 720,472/x
  3. Step 3: Cross multiply
    338,500x = 720,472 × 720,472
  4. Step 4: Simplify right side
    338,500x = 519,079,902,784
  5. Step 5: Solve for x
    x = 519,079,902,784/338,500
  6. Step 6: Final answer
    x = 1,533,470.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.