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Finding the Third Proportional to 110,474 and 172,820

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Solution

The third proportional to 110,474 and 172,820 is: 270,350.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,474 : 172,820 = 172,820 : x
  2. Step 2: Convert to fraction form
    110,474/172,820 = 172,820/x
  3. Step 3: Cross multiply
    110,474x = 172,820 × 172,820
  4. Step 4: Simplify right side
    110,474x = 29,866,752,400
  5. Step 5: Solve for x
    x = 29,866,752,400/110,474
  6. Step 6: Final answer
    x = 270,350.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.