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Finding the Third Proportional to 267,442 and 392,976

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Solution

The third proportional to 267,442 and 392,976 is: 577,434.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,442 : 392,976 = 392,976 : x
  2. Step 2: Convert to fraction form
    267,442/392,976 = 392,976/x
  3. Step 3: Cross multiply
    267,442x = 392,976 × 392,976
  4. Step 4: Simplify right side
    267,442x = 154,430,136,576
  5. Step 5: Solve for x
    x = 154,430,136,576/267,442
  6. Step 6: Final answer
    x = 577,434.12

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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.