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Finding the Third Proportional to 338,472.42 and 720,411.47

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Solution

The third proportional to 338,472.42 and 720,411.47 is: 1,533,338.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,472.42 : 720,411.47 = 720,411.47 : x
  2. Step 2: Convert to fraction form
    338,472.42/720,411.47 = 720,411.47/x
  3. Step 3: Cross multiply
    338,472.42x = 720,411.47 × 720,411.47
  4. Step 4: Simplify right side
    338,472.42x = 518,992,684,306.53
  5. Step 5: Solve for x
    x = 518,992,684,306.53/338,472.42
  6. Step 6: Final answer
    x = 1,533,338.17

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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.