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Finding the Third Proportional to 729,072 and 981,472

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Solution

The third proportional to 729,072 and 981,472 is: 1,321,251.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,072 : 981,472 = 981,472 : x
  2. Step 2: Convert to fraction form
    729,072/981,472 = 981,472/x
  3. Step 3: Cross multiply
    729,072x = 981,472 × 981,472
  4. Step 4: Simplify right side
    729,072x = 963,287,286,784
  5. Step 5: Solve for x
    x = 963,287,286,784/729,072
  6. Step 6: Final answer
    x = 1,321,251.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.