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Finding the Third Proportional to 87,756 and 206,952

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Solution

The third proportional to 87,756 and 206,952 is: 488,047.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,756 : 206,952 = 206,952 : x
  2. Step 2: Convert to fraction form
    87,756/206,952 = 206,952/x
  3. Step 3: Cross multiply
    87,756x = 206,952 × 206,952
  4. Step 4: Simplify right side
    87,756x = 42,829,130,304
  5. Step 5: Solve for x
    x = 42,829,130,304/87,756
  6. Step 6: Final answer
    x = 488,047.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.