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Finding the Third Proportional to 67,331 and 141,763

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Solution

The third proportional to 67,331 and 141,763 is: 298,476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,331 : 141,763 = 141,763 : x
  2. Step 2: Convert to fraction form
    67,331/141,763 = 141,763/x
  3. Step 3: Cross multiply
    67,331x = 141,763 × 141,763
  4. Step 4: Simplify right side
    67,331x = 20,096,748,169
  5. Step 5: Solve for x
    x = 20,096,748,169/67,331
  6. Step 6: Final answer
    x = 298,476.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.