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Finding the Third Proportional to 298,914,961.50 and 646,958,529

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Solution

The third proportional to 298,914,961.50 and 646,958,529 is: 1,400,248,873.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,914,961.50 : 646,958,529 = 646,958,529 : x
  2. Step 2: Convert to fraction form
    298,914,961.50/646,958,529 = 646,958,529/x
  3. Step 3: Cross multiply
    298,914,961.50x = 646,958,529 × 646,958,529
  4. Step 4: Simplify right side
    298,914,961.50x = 418,555,338,245,843,840
  5. Step 5: Solve for x
    x = 418,555,338,245,843,840/298,914,961.50
  6. Step 6: Final answer
    x = 1,400,248,873.95

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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.