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Finding the Third Proportional to 39,880 and 87,424

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Solution

The third proportional to 39,880 and 87,424 is: 191,648.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,880 : 87,424 = 87,424 : x
  2. Step 2: Convert to fraction form
    39,880/87,424 = 87,424/x
  3. Step 3: Cross multiply
    39,880x = 87,424 × 87,424
  4. Step 4: Simplify right side
    39,880x = 7,642,955,776
  5. Step 5: Solve for x
    x = 7,642,955,776/39,880
  6. Step 6: Final answer
    x = 191,648.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.