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Finding the Third Proportional to 454,614 and 681,921

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Solution

The third proportional to 454,614 and 681,921 is: 1,022,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,614 : 681,921 = 681,921 : x
  2. Step 2: Convert to fraction form
    454,614/681,921 = 681,921/x
  3. Step 3: Cross multiply
    454,614x = 681,921 × 681,921
  4. Step 4: Simplify right side
    454,614x = 465,016,250,241
  5. Step 5: Solve for x
    x = 465,016,250,241/454,614
  6. Step 6: Final answer
    x = 1,022,881.50

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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.