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Finding the Third Proportional to 409,078 and 574,251

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Solution

The third proportional to 409,078 and 574,251 is: 806,115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,078 : 574,251 = 574,251 : x
  2. Step 2: Convert to fraction form
    409,078/574,251 = 574,251/x
  3. Step 3: Cross multiply
    409,078x = 574,251 × 574,251
  4. Step 4: Simplify right side
    409,078x = 329,764,211,001
  5. Step 5: Solve for x
    x = 329,764,211,001/409,078
  6. Step 6: Final answer
    x = 806,115.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.