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Finding the Third Proportional to 267,774 and 386,919

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Solution

The third proportional to 267,774 and 386,919 is: 559,077.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,774 : 386,919 = 386,919 : x
  2. Step 2: Convert to fraction form
    267,774/386,919 = 386,919/x
  3. Step 3: Cross multiply
    267,774x = 386,919 × 386,919
  4. Step 4: Simplify right side
    267,774x = 149,706,312,561
  5. Step 5: Solve for x
    x = 149,706,312,561/267,774
  6. Step 6: Final answer
    x = 559,077.10

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.