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Finding the Third Proportional to 267,420 and 587,321

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Solution

The third proportional to 267,420 and 587,321 is: 1,289,903.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,420 : 587,321 = 587,321 : x
  2. Step 2: Convert to fraction form
    267,420/587,321 = 587,321/x
  3. Step 3: Cross multiply
    267,420x = 587,321 × 587,321
  4. Step 4: Simplify right side
    267,420x = 344,945,957,041
  5. Step 5: Solve for x
    x = 344,945,957,041/267,420
  6. Step 6: Final answer
    x = 1,289,903.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.