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Finding the Third Proportional to 669,332 and 992,478

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Solution

The third proportional to 669,332 and 992,478 is: 1,471,635.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,332 : 992,478 = 992,478 : x
  2. Step 2: Convert to fraction form
    669,332/992,478 = 992,478/x
  3. Step 3: Cross multiply
    669,332x = 992,478 × 992,478
  4. Step 4: Simplify right side
    669,332x = 985,012,580,484
  5. Step 5: Solve for x
    x = 985,012,580,484/669,332
  6. Step 6: Final answer
    x = 1,471,635.27

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.