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Finding the Third Proportional to 20,142 and 29,620

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Solution

The third proportional to 20,142 and 29,620 is: 43,557.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142 : 29,620 = 29,620 : x
  2. Step 2: Convert to fraction form
    20,142/29,620 = 29,620/x
  3. Step 3: Cross multiply
    20,142x = 29,620 × 29,620
  4. Step 4: Simplify right side
    20,142x = 877,344,400
  5. Step 5: Solve for x
    x = 877,344,400/20,142
  6. Step 6: Final answer
    x = 43,557.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.