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Finding the Third Proportional to 94,432 and 141,868

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Solution

The third proportional to 94,432 and 141,868 is: 213,132.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,432 : 141,868 = 141,868 : x
  2. Step 2: Convert to fraction form
    94,432/141,868 = 141,868/x
  3. Step 3: Cross multiply
    94,432x = 141,868 × 141,868
  4. Step 4: Simplify right side
    94,432x = 20,126,529,424
  5. Step 5: Solve for x
    x = 20,126,529,424/94,432
  6. Step 6: Final answer
    x = 213,132.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.