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Finding the Third Proportional to 71,380 and 110,762

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Solution

The third proportional to 71,380 and 110,762 is: 171,871.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,380 : 110,762 = 110,762 : x
  2. Step 2: Convert to fraction form
    71,380/110,762 = 110,762/x
  3. Step 3: Cross multiply
    71,380x = 110,762 × 110,762
  4. Step 4: Simplify right side
    71,380x = 12,268,220,644
  5. Step 5: Solve for x
    x = 12,268,220,644/71,380
  6. Step 6: Final answer
    x = 171,871.96

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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.