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Finding the Third Proportional to 69,912 and 149,665

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Solution

The third proportional to 69,912 and 149,665 is: 320,397.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,912 : 149,665 = 149,665 : x
  2. Step 2: Convert to fraction form
    69,912/149,665 = 149,665/x
  3. Step 3: Cross multiply
    69,912x = 149,665 × 149,665
  4. Step 4: Simplify right side
    69,912x = 22,399,612,225
  5. Step 5: Solve for x
    x = 22,399,612,225/69,912
  6. Step 6: Final answer
    x = 320,397.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.