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Finding the Third Proportional to 311,114 and 664,873

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Solution

The third proportional to 311,114 and 664,873 is: 1,420,881.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,114 : 664,873 = 664,873 : x
  2. Step 2: Convert to fraction form
    311,114/664,873 = 664,873/x
  3. Step 3: Cross multiply
    311,114x = 664,873 × 664,873
  4. Step 4: Simplify right side
    311,114x = 442,056,106,129
  5. Step 5: Solve for x
    x = 442,056,106,129/311,114
  6. Step 6: Final answer
    x = 1,420,881.43

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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.