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Finding the Third Proportional to 85,972,789 and 181,649,379

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Solution

The third proportional to 85,972,789 and 181,649,379 is: 383,801,633.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,972,789 : 181,649,379 = 181,649,379 : x
  2. Step 2: Convert to fraction form
    85,972,789/181,649,379 = 181,649,379/x
  3. Step 3: Cross multiply
    85,972,789x = 181,649,379 × 181,649,379
  4. Step 4: Simplify right side
    85,972,789x = 32,996,496,891,085,640
  5. Step 5: Solve for x
    x = 32,996,496,891,085,640/85,972,789
  6. Step 6: Final answer
    x = 383,801,633.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.