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Finding the Third Proportional to 13,782 and 15,510

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Solution

The third proportional to 13,782 and 15,510 is: 17,454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782 : 15,510 = 15,510 : x
  2. Step 2: Convert to fraction form
    13,782/15,510 = 15,510/x
  3. Step 3: Cross multiply
    13,782x = 15,510 × 15,510
  4. Step 4: Simplify right side
    13,782x = 240,560,100
  5. Step 5: Solve for x
    x = 240,560,100/13,782
  6. Step 6: Final answer
    x = 17,454.66

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.