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Finding the Third Proportional to 71,317 and 110,920

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Solution

The third proportional to 71,317 and 110,920 is: 172,514.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,317 : 110,920 = 110,920 : x
  2. Step 2: Convert to fraction form
    71,317/110,920 = 110,920/x
  3. Step 3: Cross multiply
    71,317x = 110,920 × 110,920
  4. Step 4: Simplify right side
    71,317x = 12,303,246,400
  5. Step 5: Solve for x
    x = 12,303,246,400/71,317
  6. Step 6: Final answer
    x = 172,514.92

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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.