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Finding the Third Proportional to 270,589 and 587,287

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Solution

The third proportional to 270,589 and 587,287 is: 1,274,649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,589 : 587,287 = 587,287 : x
  2. Step 2: Convert to fraction form
    270,589/587,287 = 587,287/x
  3. Step 3: Cross multiply
    270,589x = 587,287 × 587,287
  4. Step 4: Simplify right side
    270,589x = 344,906,020,369
  5. Step 5: Solve for x
    x = 344,906,020,369/270,589
  6. Step 6: Final answer
    x = 1,274,649.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.