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Finding the Third Proportional to 423,290 and 576,439

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Solution

The third proportional to 423,290 and 576,439 is: 784,998.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,290 : 576,439 = 576,439 : x
  2. Step 2: Convert to fraction form
    423,290/576,439 = 576,439/x
  3. Step 3: Cross multiply
    423,290x = 576,439 × 576,439
  4. Step 4: Simplify right side
    423,290x = 332,281,920,721
  5. Step 5: Solve for x
    x = 332,281,920,721/423,290
  6. Step 6: Final answer
    x = 784,998.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.