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Finding the Third Proportional to 7,872 and 18,220

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Solution

The third proportional to 7,872 and 18,220 is: 42,170.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872 : 18,220 = 18,220 : x
  2. Step 2: Convert to fraction form
    7,872/18,220 = 18,220/x
  3. Step 3: Cross multiply
    7,872x = 18,220 × 18,220
  4. Step 4: Simplify right side
    7,872x = 331,968,400
  5. Step 5: Solve for x
    x = 331,968,400/7,872
  6. Step 6: Final answer
    x = 42,170.78

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.