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Finding the Third Proportional to 39,513 and 83,670

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Solution

The third proportional to 39,513 and 83,670 is: 177,173.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,513 : 83,670 = 83,670 : x
  2. Step 2: Convert to fraction form
    39,513/83,670 = 83,670/x
  3. Step 3: Cross multiply
    39,513x = 83,670 × 83,670
  4. Step 4: Simplify right side
    39,513x = 7,000,668,900
  5. Step 5: Solve for x
    x = 7,000,668,900/39,513
  6. Step 6: Final answer
    x = 177,173.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.