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Finding the Third Proportional to 20,342 and 29,580

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Solution

The third proportional to 20,342 and 29,580 is: 43,013.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,342 : 29,580 = 29,580 : x
  2. Step 2: Convert to fraction form
    20,342/29,580 = 29,580/x
  3. Step 3: Cross multiply
    20,342x = 29,580 × 29,580
  4. Step 4: Simplify right side
    20,342x = 874,976,400
  5. Step 5: Solve for x
    x = 874,976,400/20,342
  6. Step 6: Final answer
    x = 43,013.29

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.