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Finding the Third Proportional to 728,832 and 1,577,472

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Solution

The third proportional to 728,832 and 1,577,472 is: 3,414,254.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,832 : 1,577,472 = 1,577,472 : x
  2. Step 2: Convert to fraction form
    728,832/1,577,472 = 1,577,472/x
  3. Step 3: Cross multiply
    728,832x = 1,577,472 × 1,577,472
  4. Step 4: Simplify right side
    728,832x = 2,488,417,910,784
  5. Step 5: Solve for x
    x = 2,488,417,910,784/728,832
  6. Step 6: Final answer
    x = 3,414,254.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.