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Finding the Third Proportional to 129,963 and 283,414

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Solution

The third proportional to 129,963 and 283,414 is: 618,048.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,963 : 283,414 = 283,414 : x
  2. Step 2: Convert to fraction form
    129,963/283,414 = 283,414/x
  3. Step 3: Cross multiply
    129,963x = 283,414 × 283,414
  4. Step 4: Simplify right side
    129,963x = 80,323,495,396
  5. Step 5: Solve for x
    x = 80,323,495,396/129,963
  6. Step 6: Final answer
    x = 618,048.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.