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Finding the Third Proportional to 133,074 and 195,720

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Solution

The third proportional to 133,074 and 195,720 is: 287,857.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,074 : 195,720 = 195,720 : x
  2. Step 2: Convert to fraction form
    133,074/195,720 = 195,720/x
  3. Step 3: Cross multiply
    133,074x = 195,720 × 195,720
  4. Step 4: Simplify right side
    133,074x = 38,306,318,400
  5. Step 5: Solve for x
    x = 38,306,318,400/133,074
  6. Step 6: Final answer
    x = 287,857.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.