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Finding the Third Proportional to 295,882.52 and 638,976.69

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Solution

The third proportional to 295,882.52 and 638,976.69 is: 1,379,909.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,882.52 : 638,976.69 = 638,976.69 : x
  2. Step 2: Convert to fraction form
    295,882.52/638,976.69 = 638,976.69/x
  3. Step 3: Cross multiply
    295,882.52x = 638,976.69 × 638,976.69
  4. Step 4: Simplify right side
    295,882.52x = 408,291,206,544.45
  5. Step 5: Solve for x
    x = 408,291,206,544.45/295,882.52
  6. Step 6: Final answer
    x = 1,379,909.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.