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Finding the Third Proportional to 9,332 and 13,086

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Solution

The third proportional to 9,332 and 13,086 is: 18,350.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332 : 13,086 = 13,086 : x
  2. Step 2: Convert to fraction form
    9,332/13,086 = 13,086/x
  3. Step 3: Cross multiply
    9,332x = 13,086 × 13,086
  4. Step 4: Simplify right side
    9,332x = 171,243,396
  5. Step 5: Solve for x
    x = 171,243,396/9,332
  6. Step 6: Final answer
    x = 18,350.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.