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Finding the Third Proportional to 410,427 and 576,456.75

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Solution

The third proportional to 410,427 and 576,456.75 is: 809,650.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,427 : 576,456.75 = 576,456.75 : x
  2. Step 2: Convert to fraction form
    410,427/576,456.75 = 576,456.75/x
  3. Step 3: Cross multiply
    410,427x = 576,456.75 × 576,456.75
  4. Step 4: Simplify right side
    410,427x = 332,302,384,620.56
  5. Step 5: Solve for x
    x = 332,302,384,620.56/410,427
  6. Step 6: Final answer
    x = 809,650.40

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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.