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Finding the Third Proportional to 61,908 and 87,516

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Solution

The third proportional to 61,908 and 87,516 is: 123,716.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,908 : 87,516 = 87,516 : x
  2. Step 2: Convert to fraction form
    61,908/87,516 = 87,516/x
  3. Step 3: Cross multiply
    61,908x = 87,516 × 87,516
  4. Step 4: Simplify right side
    61,908x = 7,659,050,256
  5. Step 5: Solve for x
    x = 7,659,050,256/61,908
  6. Step 6: Final answer
    x = 123,716.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.