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Finding the Third Proportional to 25,750 and 34,489

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Solution

The third proportional to 25,750 and 34,489 is: 46,193.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,750 : 34,489 = 34,489 : x
  2. Step 2: Convert to fraction form
    25,750/34,489 = 34,489/x
  3. Step 3: Cross multiply
    25,750x = 34,489 × 34,489
  4. Step 4: Simplify right side
    25,750x = 1,189,491,121
  5. Step 5: Solve for x
    x = 1,189,491,121/25,750
  6. Step 6: Final answer
    x = 46,193.83

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.