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Finding the Third Proportional to 20,042 and 29,487

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Solution

The third proportional to 20,042 and 29,487 is: 43,383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,042 : 29,487 = 29,487 : x
  2. Step 2: Convert to fraction form
    20,042/29,487 = 29,487/x
  3. Step 3: Cross multiply
    20,042x = 29,487 × 29,487
  4. Step 4: Simplify right side
    20,042x = 869,483,169
  5. Step 5: Solve for x
    x = 869,483,169/20,042
  6. Step 6: Final answer
    x = 43,383.05

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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.