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Finding the Third Proportional to 43,357 and 68,711

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Solution

The third proportional to 43,357 and 68,711 is: 108,891.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,357 : 68,711 = 68,711 : x
  2. Step 2: Convert to fraction form
    43,357/68,711 = 68,711/x
  3. Step 3: Cross multiply
    43,357x = 68,711 × 68,711
  4. Step 4: Simplify right side
    43,357x = 4,721,201,521
  5. Step 5: Solve for x
    x = 4,721,201,521/43,357
  6. Step 6: Final answer
    x = 108,891.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.