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Finding the Third Proportional to 71,310 and 110,909

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Solution

The third proportional to 71,310 and 110,909 is: 172,497.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,310 : 110,909 = 110,909 : x
  2. Step 2: Convert to fraction form
    71,310/110,909 = 110,909/x
  3. Step 3: Cross multiply
    71,310x = 110,909 × 110,909
  4. Step 4: Simplify right side
    71,310x = 12,300,806,281
  5. Step 5: Solve for x
    x = 12,300,806,281/71,310
  6. Step 6: Final answer
    x = 172,497.63

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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.