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Finding the Third Proportional to 118,717 and 252,877

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Solution

The third proportional to 118,717 and 252,877 is: 538,648.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,717 : 252,877 = 252,877 : x
  2. Step 2: Convert to fraction form
    118,717/252,877 = 252,877/x
  3. Step 3: Cross multiply
    118,717x = 252,877 × 252,877
  4. Step 4: Simplify right side
    118,717x = 63,946,777,129
  5. Step 5: Solve for x
    x = 63,946,777,129/118,717
  6. Step 6: Final answer
    x = 538,648.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.