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Finding the Third Proportional to 123,408 and 270,387

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Solution

The third proportional to 123,408 and 270,387 is: 592,418.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,408 : 270,387 = 270,387 : x
  2. Step 2: Convert to fraction form
    123,408/270,387 = 270,387/x
  3. Step 3: Cross multiply
    123,408x = 270,387 × 270,387
  4. Step 4: Simplify right side
    123,408x = 73,109,129,769
  5. Step 5: Solve for x
    x = 73,109,129,769/123,408
  6. Step 6: Final answer
    x = 592,418.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.