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Finding the Third Proportional to 66,969 and 147,330

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Solution

The third proportional to 66,969 and 147,330 is: 324,122.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,969 : 147,330 = 147,330 : x
  2. Step 2: Convert to fraction form
    66,969/147,330 = 147,330/x
  3. Step 3: Cross multiply
    66,969x = 147,330 × 147,330
  4. Step 4: Simplify right side
    66,969x = 21,706,128,900
  5. Step 5: Solve for x
    x = 21,706,128,900/66,969
  6. Step 6: Final answer
    x = 324,122.04

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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.