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Finding the Third Proportional to 311,106 and 664,858

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Solution

The third proportional to 311,106 and 664,858 is: 1,420,853.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,106 : 664,858 = 664,858 : x
  2. Step 2: Convert to fraction form
    311,106/664,858 = 664,858/x
  3. Step 3: Cross multiply
    311,106x = 664,858 × 664,858
  4. Step 4: Simplify right side
    311,106x = 442,036,160,164
  5. Step 5: Solve for x
    x = 442,036,160,164/311,106
  6. Step 6: Final answer
    x = 1,420,853.86

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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.