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Finding the Third Proportional to 40,306 and 87,782

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Solution

The third proportional to 40,306 and 87,782 is: 191,179.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,306 : 87,782 = 87,782 : x
  2. Step 2: Convert to fraction form
    40,306/87,782 = 87,782/x
  3. Step 3: Cross multiply
    40,306x = 87,782 × 87,782
  4. Step 4: Simplify right side
    40,306x = 7,705,679,524
  5. Step 5: Solve for x
    x = 7,705,679,524/40,306
  6. Step 6: Final answer
    x = 191,179.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.