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Finding the Third Proportional to 320,691.38 and 691,093.13

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Solution

The third proportional to 320,691.38 and 691,093.13 is: 1,489,312.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,691.38 : 691,093.13 = 691,093.13 : x
  2. Step 2: Convert to fraction form
    320,691.38/691,093.13 = 691,093.13/x
  3. Step 3: Cross multiply
    320,691.38x = 691,093.13 × 691,093.13
  4. Step 4: Simplify right side
    320,691.38x = 477,609,707,422.27
  5. Step 5: Solve for x
    x = 477,609,707,422.27/320,691.38
  6. Step 6: Final answer
    x = 1,489,312.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.