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Finding the Third Proportional to 36,432 and 78,911

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Solution

The third proportional to 36,432 and 78,911 is: 170,919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,432 : 78,911 = 78,911 : x
  2. Step 2: Convert to fraction form
    36,432/78,911 = 78,911/x
  3. Step 3: Cross multiply
    36,432x = 78,911 × 78,911
  4. Step 4: Simplify right side
    36,432x = 6,226,945,921
  5. Step 5: Solve for x
    x = 6,226,945,921/36,432
  6. Step 6: Final answer
    x = 170,919.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.