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Finding the Third Proportional to 267,987 and 426,580

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Solution

The third proportional to 267,987 and 426,580 is: 679,027.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,987 : 426,580 = 426,580 : x
  2. Step 2: Convert to fraction form
    267,987/426,580 = 426,580/x
  3. Step 3: Cross multiply
    267,987x = 426,580 × 426,580
  4. Step 4: Simplify right side
    267,987x = 181,970,496,400
  5. Step 5: Solve for x
    x = 181,970,496,400/267,987
  6. Step 6: Final answer
    x = 679,027.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.