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Finding the Third Proportional to 8,742 and 13,146

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Solution

The third proportional to 8,742 and 13,146 is: 19,768.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742 : 13,146 = 13,146 : x
  2. Step 2: Convert to fraction form
    8,742/13,146 = 13,146/x
  3. Step 3: Cross multiply
    8,742x = 13,146 × 13,146
  4. Step 4: Simplify right side
    8,742x = 172,817,316
  5. Step 5: Solve for x
    x = 172,817,316/8,742
  6. Step 6: Final answer
    x = 19,768.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.