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Finding the Third Proportional to 204,763,287 and 289,733,739

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Solution

The third proportional to 204,763,287 and 289,733,739 is: 409,964,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,763,287 : 289,733,739 = 289,733,739 : x
  2. Step 2: Convert to fraction form
    204,763,287/289,733,739 = 289,733,739/x
  3. Step 3: Cross multiply
    204,763,287x = 289,733,739 × 289,733,739
  4. Step 4: Simplify right side
    204,763,287x = 83,945,639,514,920,128
  5. Step 5: Solve for x
    x = 83,945,639,514,920,128/204,763,287
  6. Step 6: Final answer
    x = 409,964,309.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.