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Finding the Third Proportional to 318,288 and 430,744

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Solution

The third proportional to 318,288 and 430,744 is: 582,932.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,288 : 430,744 = 430,744 : x
  2. Step 2: Convert to fraction form
    318,288/430,744 = 430,744/x
  3. Step 3: Cross multiply
    318,288x = 430,744 × 430,744
  4. Step 4: Simplify right side
    318,288x = 185,540,393,536
  5. Step 5: Solve for x
    x = 185,540,393,536/318,288
  6. Step 6: Final answer
    x = 582,932.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.