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Finding the Third Proportional to 267,555 and 392,461

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Solution

The third proportional to 267,555 and 392,461 is: 575,678.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,555 : 392,461 = 392,461 : x
  2. Step 2: Convert to fraction form
    267,555/392,461 = 392,461/x
  3. Step 3: Cross multiply
    267,555x = 392,461 × 392,461
  4. Step 4: Simplify right side
    267,555x = 154,025,636,521
  5. Step 5: Solve for x
    x = 154,025,636,521/267,555
  6. Step 6: Final answer
    x = 575,678.41

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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.