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Finding the Third Proportional to 615,992 and 921,472

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Solution

The third proportional to 615,992 and 921,472 is: 1,378,444.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,992 : 921,472 = 921,472 : x
  2. Step 2: Convert to fraction form
    615,992/921,472 = 921,472/x
  3. Step 3: Cross multiply
    615,992x = 921,472 × 921,472
  4. Step 4: Simplify right side
    615,992x = 849,110,646,784
  5. Step 5: Solve for x
    x = 849,110,646,784/615,992
  6. Step 6: Final answer
    x = 1,378,444.28

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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.