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Finding the Third Proportional to 66,981 and 144,330

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Solution

The third proportional to 66,981 and 144,330 is: 311,000.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,981 : 144,330 = 144,330 : x
  2. Step 2: Convert to fraction form
    66,981/144,330 = 144,330/x
  3. Step 3: Cross multiply
    66,981x = 144,330 × 144,330
  4. Step 4: Simplify right side
    66,981x = 20,831,148,900
  5. Step 5: Solve for x
    x = 20,831,148,900/66,981
  6. Step 6: Final answer
    x = 311,000.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.