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Finding the Third Proportional to 267,130 and 381,972

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Solution

The third proportional to 267,130 and 381,972 is: 546,185.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,130 : 381,972 = 381,972 : x
  2. Step 2: Convert to fraction form
    267,130/381,972 = 381,972/x
  3. Step 3: Cross multiply
    267,130x = 381,972 × 381,972
  4. Step 4: Simplify right side
    267,130x = 145,902,608,784
  5. Step 5: Solve for x
    x = 145,902,608,784/267,130
  6. Step 6: Final answer
    x = 546,185.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.