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Finding the Third Proportional to 291,555 and 449,757

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Solution

The third proportional to 291,555 and 449,757 is: 693,801.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,555 : 449,757 = 449,757 : x
  2. Step 2: Convert to fraction form
    291,555/449,757 = 449,757/x
  3. Step 3: Cross multiply
    291,555x = 449,757 × 449,757
  4. Step 4: Simplify right side
    291,555x = 202,281,359,049
  5. Step 5: Solve for x
    x = 202,281,359,049/291,555
  6. Step 6: Final answer
    x = 693,801.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.