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Finding the Third Proportional to 491,471 and 660,432

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Solution

The third proportional to 491,471 and 660,432 is: 887,479.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,471 : 660,432 = 660,432 : x
  2. Step 2: Convert to fraction form
    491,471/660,432 = 660,432/x
  3. Step 3: Cross multiply
    491,471x = 660,432 × 660,432
  4. Step 4: Simplify right side
    491,471x = 436,170,426,624
  5. Step 5: Solve for x
    x = 436,170,426,624/491,471
  6. Step 6: Final answer
    x = 887,479.48

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.