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Finding the Third Proportional to 439,484 and 660,396

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Solution

The third proportional to 439,484 and 660,396 is: 992,352.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,484 : 660,396 = 660,396 : x
  2. Step 2: Convert to fraction form
    439,484/660,396 = 660,396/x
  3. Step 3: Cross multiply
    439,484x = 660,396 × 660,396
  4. Step 4: Simplify right side
    439,484x = 436,122,876,816
  5. Step 5: Solve for x
    x = 436,122,876,816/439,484
  6. Step 6: Final answer
    x = 992,352.11

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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.