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Finding the Third Proportional to 315,792 and 472,728

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Solution

The third proportional to 315,792 and 472,728 is: 707,654.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,792 : 472,728 = 472,728 : x
  2. Step 2: Convert to fraction form
    315,792/472,728 = 472,728/x
  3. Step 3: Cross multiply
    315,792x = 472,728 × 472,728
  4. Step 4: Simplify right side
    315,792x = 223,471,761,984
  5. Step 5: Solve for x
    x = 223,471,761,984/315,792
  6. Step 6: Final answer
    x = 707,654.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.