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Finding the Third Proportional to 291,217.78 and 622,915.31

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Solution

The third proportional to 291,217.78 and 622,915.31 is: 1,332,416.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,217.78 : 622,915.31 = 622,915.31 : x
  2. Step 2: Convert to fraction form
    291,217.78/622,915.31 = 622,915.31/x
  3. Step 3: Cross multiply
    291,217.78x = 622,915.31 × 622,915.31
  4. Step 4: Simplify right side
    291,217.78x = 388,023,486,546.97
  5. Step 5: Solve for x
    x = 388,023,486,546.97/291,217.78
  6. Step 6: Final answer
    x = 1,332,416.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.