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Finding the Third Proportional to 39,975 and 61,517

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Solution

The third proportional to 39,975 and 61,517 is: 94,667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,975 : 61,517 = 61,517 : x
  2. Step 2: Convert to fraction form
    39,975/61,517 = 61,517/x
  3. Step 3: Cross multiply
    39,975x = 61,517 × 61,517
  4. Step 4: Simplify right side
    39,975x = 3,784,341,289
  5. Step 5: Solve for x
    x = 3,784,341,289/39,975
  6. Step 6: Final answer
    x = 94,667.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.