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Finding the Third Proportional to 63,685 and 133,566

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Solution

The third proportional to 63,685 and 133,566 is: 280,126.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,685 : 133,566 = 133,566 : x
  2. Step 2: Convert to fraction form
    63,685/133,566 = 133,566/x
  3. Step 3: Cross multiply
    63,685x = 133,566 × 133,566
  4. Step 4: Simplify right side
    63,685x = 17,839,876,356
  5. Step 5: Solve for x
    x = 17,839,876,356/63,685
  6. Step 6: Final answer
    x = 280,126.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.