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Finding the Third Proportional to 71,240 and 110,749

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Solution

The third proportional to 71,240 and 110,749 is: 172,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,240 : 110,749 = 110,749 : x
  2. Step 2: Convert to fraction form
    71,240/110,749 = 110,749/x
  3. Step 3: Cross multiply
    71,240x = 110,749 × 110,749
  4. Step 4: Simplify right side
    71,240x = 12,265,341,001
  5. Step 5: Solve for x
    x = 12,265,341,001/71,240
  6. Step 6: Final answer
    x = 172,169.30

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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.