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Finding the Third Proportional to 311,109.75 and 664,866

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Solution

The third proportional to 311,109.75 and 664,866 is: 1,420,870.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,109.75 : 664,866 = 664,866 : x
  2. Step 2: Convert to fraction form
    311,109.75/664,866 = 664,866/x
  3. Step 3: Cross multiply
    311,109.75x = 664,866 × 664,866
  4. Step 4: Simplify right side
    311,109.75x = 442,046,797,956
  5. Step 5: Solve for x
    x = 442,046,797,956/311,109.75
  6. Step 6: Final answer
    x = 1,420,870.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.