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Finding the Third Proportional to 267,800 and 414,900

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Solution

The third proportional to 267,800 and 414,900 is: 642,800.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,800 : 414,900 = 414,900 : x
  2. Step 2: Convert to fraction form
    267,800/414,900 = 414,900/x
  3. Step 3: Cross multiply
    267,800x = 414,900 × 414,900
  4. Step 4: Simplify right side
    267,800x = 172,142,010,000
  5. Step 5: Solve for x
    x = 172,142,010,000/267,800
  6. Step 6: Final answer
    x = 642,800.63

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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.