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Finding the Third Proportional to 439,496 and 660,414

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Solution

The third proportional to 439,496 and 660,414 is: 992,379.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,496 : 660,414 = 660,414 : x
  2. Step 2: Convert to fraction form
    439,496/660,414 = 660,414/x
  3. Step 3: Cross multiply
    439,496x = 660,414 × 660,414
  4. Step 4: Simplify right side
    439,496x = 436,146,651,396
  5. Step 5: Solve for x
    x = 436,146,651,396/439,496
  6. Step 6: Final answer
    x = 992,379.11

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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.