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Finding the Third Proportional to 138,205,728 and 296,520,192

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Solution

The third proportional to 138,205,728 and 296,520,192 is: 636,183,648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,205,728 : 296,520,192 = 296,520,192 : x
  2. Step 2: Convert to fraction form
    138,205,728/296,520,192 = 296,520,192/x
  3. Step 3: Cross multiply
    138,205,728x = 296,520,192 × 296,520,192
  4. Step 4: Simplify right side
    138,205,728x = 87,924,224,263,716,864
  5. Step 5: Solve for x
    x = 87,924,224,263,716,864/138,205,728
  6. Step 6: Final answer
    x = 636,183,648.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.