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Finding the Third Proportional to 266,978.25 and 413,502.75

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Solution

The third proportional to 266,978.25 and 413,502.75 is: 640,443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,978.25 : 413,502.75 = 413,502.75 : x
  2. Step 2: Convert to fraction form
    266,978.25/413,502.75 = 413,502.75/x
  3. Step 3: Cross multiply
    266,978.25x = 413,502.75 × 413,502.75
  4. Step 4: Simplify right side
    266,978.25x = 170,984,524,257.56
  5. Step 5: Solve for x
    x = 170,984,524,257.56/266,978.25
  6. Step 6: Final answer
    x = 640,443.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.