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Finding the Third Proportional to 454,612 and 681,918

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Solution

The third proportional to 454,612 and 681,918 is: 1,022,877

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,612 : 681,918 = 681,918 : x
  2. Step 2: Convert to fraction form
    454,612/681,918 = 681,918/x
  3. Step 3: Cross multiply
    454,612x = 681,918 × 681,918
  4. Step 4: Simplify right side
    454,612x = 465,012,158,724
  5. Step 5: Solve for x
    x = 465,012,158,724/454,612
  6. Step 6: Final answer
    x = 1,022,877

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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.