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Finding the Third Proportional to 311,109 and 664,865

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Solution

The third proportional to 311,109 and 664,865 is: 1,420,870.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,109 : 664,865 = 664,865 : x
  2. Step 2: Convert to fraction form
    311,109/664,865 = 664,865/x
  3. Step 3: Cross multiply
    311,109x = 664,865 × 664,865
  4. Step 4: Simplify right side
    311,109x = 442,045,468,225
  5. Step 5: Solve for x
    x = 442,045,468,225/311,109
  6. Step 6: Final answer
    x = 1,420,870.08

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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.