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Finding the Third Proportional to 67,840 and 149,141

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Solution

The third proportional to 67,840 and 149,141 is: 327,874.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,840 : 149,141 = 149,141 : x
  2. Step 2: Convert to fraction form
    67,840/149,141 = 149,141/x
  3. Step 3: Cross multiply
    67,840x = 149,141 × 149,141
  4. Step 4: Simplify right side
    67,840x = 22,243,037,881
  5. Step 5: Solve for x
    x = 22,243,037,881/67,840
  6. Step 6: Final answer
    x = 327,874.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.