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Finding the Third Proportional to 318,290 and 430,747

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Solution

The third proportional to 318,290 and 430,747 is: 582,936.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,290 : 430,747 = 430,747 : x
  2. Step 2: Convert to fraction form
    318,290/430,747 = 430,747/x
  3. Step 3: Cross multiply
    318,290x = 430,747 × 430,747
  4. Step 4: Simplify right side
    318,290x = 185,542,978,009
  5. Step 5: Solve for x
    x = 185,542,978,009/318,290
  6. Step 6: Final answer
    x = 582,936.88

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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.