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Finding the Third Proportional to 454,177.13 and 660,124.69

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Solution

The third proportional to 454,177.13 and 660,124.69 is: 959,459.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,177.13 : 660,124.69 = 660,124.69 : x
  2. Step 2: Convert to fraction form
    454,177.13/660,124.69 = 660,124.69/x
  3. Step 3: Cross multiply
    454,177.13x = 660,124.69 × 660,124.69
  4. Step 4: Simplify right side
    454,177.13x = 435,764,603,046.97
  5. Step 5: Solve for x
    x = 435,764,603,046.97/454,177.13
  6. Step 6: Final answer
    x = 959,459.60

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.