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Finding the Third Proportional to 39,668 and 83,424

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Solution

The third proportional to 39,668 and 83,424 is: 175,445.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,668 : 83,424 = 83,424 : x
  2. Step 2: Convert to fraction form
    39,668/83,424 = 83,424/x
  3. Step 3: Cross multiply
    39,668x = 83,424 × 83,424
  4. Step 4: Simplify right side
    39,668x = 6,959,563,776
  5. Step 5: Solve for x
    x = 6,959,563,776/39,668
  6. Step 6: Final answer
    x = 175,445.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.