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Finding the Third Proportional to 267,842 and 393,015

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Solution

The third proportional to 267,842 and 393,015 is: 576,686.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,842 : 393,015 = 393,015 : x
  2. Step 2: Convert to fraction form
    267,842/393,015 = 393,015/x
  3. Step 3: Cross multiply
    267,842x = 393,015 × 393,015
  4. Step 4: Simplify right side
    267,842x = 154,460,790,225
  5. Step 5: Solve for x
    x = 154,460,790,225/267,842
  6. Step 6: Final answer
    x = 576,686.22

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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.