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Finding the Third Proportional to 267,808.78 and 414,937.69

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Solution

The third proportional to 267,808.78 and 414,937.69 is: 642,896.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,808.78 : 414,937.69 = 414,937.69 : x
  2. Step 2: Convert to fraction form
    267,808.78/414,937.69 = 414,937.69/x
  3. Step 3: Cross multiply
    267,808.78x = 414,937.69 × 414,937.69
  4. Step 4: Simplify right side
    267,808.78x = 172,173,284,507.85
  5. Step 5: Solve for x
    x = 172,173,284,507.85/267,808.78
  6. Step 6: Final answer
    x = 642,896.34

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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.