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Finding the Third Proportional to 175,311.84 and 378,649.69

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Solution

The third proportional to 175,311.84 and 378,649.69 is: 817,831.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,311.84 : 378,649.69 = 378,649.69 : x
  2. Step 2: Convert to fraction form
    175,311.84/378,649.69 = 378,649.69/x
  3. Step 3: Cross multiply
    175,311.84x = 378,649.69 × 378,649.69
  4. Step 4: Simplify right side
    175,311.84x = 143,375,585,843.85
  5. Step 5: Solve for x
    x = 143,375,585,843.85/175,311.84
  6. Step 6: Final answer
    x = 817,831.72

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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.