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Finding the Third Proportional to 206,470.69 and 457,159.78

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Solution

The third proportional to 206,470.69 and 457,159.78 is: 1,012,226.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,470.69 : 457,159.78 = 457,159.78 : x
  2. Step 2: Convert to fraction form
    206,470.69/457,159.78 = 457,159.78/x
  3. Step 3: Cross multiply
    206,470.69x = 457,159.78 × 457,159.78
  4. Step 4: Simplify right side
    206,470.69x = 208,995,065,592.55
  5. Step 5: Solve for x
    x = 208,995,065,592.55/206,470.69
  6. Step 6: Final answer
    x = 1,012,226.33

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.