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Finding the Third Proportional to 15,500 and 17,780

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Solution

The third proportional to 15,500 and 17,780 is: 20,395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,500 : 17,780 = 17,780 : x
  2. Step 2: Convert to fraction form
    15,500/17,780 = 17,780/x
  3. Step 3: Cross multiply
    15,500x = 17,780 × 17,780
  4. Step 4: Simplify right side
    15,500x = 316,128,400
  5. Step 5: Solve for x
    x = 316,128,400/15,500
  6. Step 6: Final answer
    x = 20,395.38

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.