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Finding the Third Proportional to 391,165.31 and 905,552.44

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Solution

The third proportional to 391,165.31 and 905,552.44 is: 2,096,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,165.31 : 905,552.44 = 905,552.44 : x
  2. Step 2: Convert to fraction form
    391,165.31/905,552.44 = 905,552.44/x
  3. Step 3: Cross multiply
    391,165.31x = 905,552.44 × 905,552.44
  4. Step 4: Simplify right side
    391,165.31x = 820,025,217,062.19
  5. Step 5: Solve for x
    x = 820,025,217,062.19/391,165.31
  6. Step 6: Final answer
    x = 2,096,364.86

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.