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Finding the Third Proportional to 13,170 and 31,487

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Solution

The third proportional to 13,170 and 31,487 is: 75,279.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,170 : 31,487 = 31,487 : x
  2. Step 2: Convert to fraction form
    13,170/31,487 = 31,487/x
  3. Step 3: Cross multiply
    13,170x = 31,487 × 31,487
  4. Step 4: Simplify right side
    13,170x = 991,431,169
  5. Step 5: Solve for x
    x = 991,431,169/13,170
  6. Step 6: Final answer
    x = 75,279.51

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.