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Finding the Third Proportional to 39,959 and 86,830

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Solution

The third proportional to 39,959 and 86,830 is: 188,679.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,959 : 86,830 = 86,830 : x
  2. Step 2: Convert to fraction form
    39,959/86,830 = 86,830/x
  3. Step 3: Cross multiply
    39,959x = 86,830 × 86,830
  4. Step 4: Simplify right side
    39,959x = 7,539,448,900
  5. Step 5: Solve for x
    x = 7,539,448,900/39,959
  6. Step 6: Final answer
    x = 188,679.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.