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Finding the Third Proportional to 401,892 and 547,311

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Solution

The third proportional to 401,892 and 547,311 is: 745,347.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,892 : 547,311 = 547,311 : x
  2. Step 2: Convert to fraction form
    401,892/547,311 = 547,311/x
  3. Step 3: Cross multiply
    401,892x = 547,311 × 547,311
  4. Step 4: Simplify right side
    401,892x = 299,549,330,721
  5. Step 5: Solve for x
    x = 299,549,330,721/401,892
  6. Step 6: Final answer
    x = 745,347.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.