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Finding the Third Proportional to 71,210 and 110,703

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Solution

The third proportional to 71,210 and 110,703 is: 172,098.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,210 : 110,703 = 110,703 : x
  2. Step 2: Convert to fraction form
    71,210/110,703 = 110,703/x
  3. Step 3: Cross multiply
    71,210x = 110,703 × 110,703
  4. Step 4: Simplify right side
    71,210x = 12,255,154,209
  5. Step 5: Solve for x
    x = 12,255,154,209/71,210
  6. Step 6: Final answer
    x = 172,098.78

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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.