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Finding the Third Proportional to 49,750 and 78,775

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Solution

The third proportional to 49,750 and 78,775 is: 124,733.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,750 : 78,775 = 78,775 : x
  2. Step 2: Convert to fraction form
    49,750/78,775 = 78,775/x
  3. Step 3: Cross multiply
    49,750x = 78,775 × 78,775
  4. Step 4: Simplify right side
    49,750x = 6,205,500,625
  5. Step 5: Solve for x
    x = 6,205,500,625/49,750
  6. Step 6: Final answer
    x = 124,733.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.