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Finding the Third Proportional to 52,538 and 78,861

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Solution

The third proportional to 52,538 and 78,861 is: 118,372.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,538 : 78,861 = 78,861 : x
  2. Step 2: Convert to fraction form
    52,538/78,861 = 78,861/x
  3. Step 3: Cross multiply
    52,538x = 78,861 × 78,861
  4. Step 4: Simplify right side
    52,538x = 6,219,057,321
  5. Step 5: Solve for x
    x = 6,219,057,321/52,538
  6. Step 6: Final answer
    x = 118,372.56

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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.