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Finding the Third Proportional to 71,420 and 110,950

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Solution

The third proportional to 71,420 and 110,950 is: 172,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,420 : 110,950 = 110,950 : x
  2. Step 2: Convert to fraction form
    71,420/110,950 = 110,950/x
  3. Step 3: Cross multiply
    71,420x = 110,950 × 110,950
  4. Step 4: Simplify right side
    71,420x = 12,309,902,500
  5. Step 5: Solve for x
    x = 12,309,902,500/71,420
  6. Step 6: Final answer
    x = 172,359.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.