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Finding the Third Proportional to 292,428 and 440,802

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Solution

The third proportional to 292,428 and 440,802 is: 664,458.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,428 : 440,802 = 440,802 : x
  2. Step 2: Convert to fraction form
    292,428/440,802 = 440,802/x
  3. Step 3: Cross multiply
    292,428x = 440,802 × 440,802
  4. Step 4: Simplify right side
    292,428x = 194,306,403,204
  5. Step 5: Solve for x
    x = 194,306,403,204/292,428
  6. Step 6: Final answer
    x = 664,458.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.