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Finding the Third Proportional to 71,312 and 110,864

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Solution

The third proportional to 71,312 and 110,864 is: 172,352.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,312 : 110,864 = 110,864 : x
  2. Step 2: Convert to fraction form
    71,312/110,864 = 110,864/x
  3. Step 3: Cross multiply
    71,312x = 110,864 × 110,864
  4. Step 4: Simplify right side
    71,312x = 12,290,826,496
  5. Step 5: Solve for x
    x = 12,290,826,496/71,312
  6. Step 6: Final answer
    x = 172,352.85

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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.