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Finding the Third Proportional to 291,662 and 638,188

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Solution

The third proportional to 291,662 and 638,188 is: 1,396,424.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,662 : 638,188 = 638,188 : x
  2. Step 2: Convert to fraction form
    291,662/638,188 = 638,188/x
  3. Step 3: Cross multiply
    291,662x = 638,188 × 638,188
  4. Step 4: Simplify right side
    291,662x = 407,283,923,344
  5. Step 5: Solve for x
    x = 407,283,923,344/291,662
  6. Step 6: Final answer
    x = 1,396,424.37

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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.