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Finding the Third Proportional to 39,465 and 82,578

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Solution

The third proportional to 39,465 and 82,578 is: 172,789.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,465 : 82,578 = 82,578 : x
  2. Step 2: Convert to fraction form
    39,465/82,578 = 82,578/x
  3. Step 3: Cross multiply
    39,465x = 82,578 × 82,578
  4. Step 4: Simplify right side
    39,465x = 6,819,126,084
  5. Step 5: Solve for x
    x = 6,819,126,084/39,465
  6. Step 6: Final answer
    x = 172,789.21

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.