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Finding the Third Proportional to 8,142 and 11,902

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Solution

The third proportional to 8,142 and 11,902 is: 17,398.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142 : 11,902 = 11,902 : x
  2. Step 2: Convert to fraction form
    8,142/11,902 = 11,902/x
  3. Step 3: Cross multiply
    8,142x = 11,902 × 11,902
  4. Step 4: Simplify right side
    8,142x = 141,657,604
  5. Step 5: Solve for x
    x = 141,657,604/8,142
  6. Step 6: Final answer
    x = 17,398.38

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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.