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Finding the Third Proportional to 14,042 and 20,487

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Solution

The third proportional to 14,042 and 20,487 is: 29,890.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,042 : 20,487 = 20,487 : x
  2. Step 2: Convert to fraction form
    14,042/20,487 = 20,487/x
  3. Step 3: Cross multiply
    14,042x = 20,487 × 20,487
  4. Step 4: Simplify right side
    14,042x = 419,717,169
  5. Step 5: Solve for x
    x = 419,717,169/14,042
  6. Step 6: Final answer
    x = 29,890.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.