Home / 204,022,983.20-442,685,121.86

Finding the Third Proportional to 204,022,983.20 and 442,685,121.86

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Solution

The third proportional to 204,022,983.20 and 442,685,121.86 is: 960,529,613.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,022,983.20 : 442,685,121.86 = 442,685,121.86 : x
  2. Step 2: Convert to fraction form
    204,022,983.20/442,685,121.86 = 442,685,121.86/x
  3. Step 3: Cross multiply
    204,022,983.20x = 442,685,121.86 × 442,685,121.86
  4. Step 4: Simplify right side
    204,022,983.20x = 195,970,117,112,174,592
  5. Step 5: Solve for x
    x = 195,970,117,112,174,592/204,022,983.20
  6. Step 6: Final answer
    x = 960,529,613.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.