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Finding the Third Proportional to 291,247.31 and 625,723.31

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Solution

The third proportional to 291,247.31 and 625,723.31 is: 1,344,320.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,247.31 : 625,723.31 = 625,723.31 : x
  2. Step 2: Convert to fraction form
    291,247.31/625,723.31 = 625,723.31/x
  3. Step 3: Cross multiply
    291,247.31x = 625,723.31 × 625,723.31
  4. Step 4: Simplify right side
    291,247.31x = 391,529,663,805.97
  5. Step 5: Solve for x
    x = 391,529,663,805.97/291,247.31
  6. Step 6: Final answer
    x = 1,344,320.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.