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Finding the Third Proportional to 64,450 and 141,981

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Solution

The third proportional to 64,450 and 141,981 is: 312,778.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,450 : 141,981 = 141,981 : x
  2. Step 2: Convert to fraction form
    64,450/141,981 = 141,981/x
  3. Step 3: Cross multiply
    64,450x = 141,981 × 141,981
  4. Step 4: Simplify right side
    64,450x = 20,158,604,361
  5. Step 5: Solve for x
    x = 20,158,604,361/64,450
  6. Step 6: Final answer
    x = 312,778.97

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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.