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Finding the Third Proportional to 8,142 and 11,537

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Solution

The third proportional to 8,142 and 11,537 is: 16,347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142 : 11,537 = 11,537 : x
  2. Step 2: Convert to fraction form
    8,142/11,537 = 11,537/x
  3. Step 3: Cross multiply
    8,142x = 11,537 × 11,537
  4. Step 4: Simplify right side
    8,142x = 133,102,369
  5. Step 5: Solve for x
    x = 133,102,369/8,142
  6. Step 6: Final answer
    x = 16,347.63

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.