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Finding the Third Proportional to 8,242 and 17,780

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Solution

The third proportional to 8,242 and 17,780 is: 38,355.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242 : 17,780 = 17,780 : x
  2. Step 2: Convert to fraction form
    8,242/17,780 = 17,780/x
  3. Step 3: Cross multiply
    8,242x = 17,780 × 17,780
  4. Step 4: Simplify right side
    8,242x = 316,128,400
  5. Step 5: Solve for x
    x = 316,128,400/8,242
  6. Step 6: Final answer
    x = 38,355.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.