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Finding the Third Proportional to 310,744 and 676,846

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Solution

The third proportional to 310,744 and 676,846 is: 1,474,269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,744 : 676,846 = 676,846 : x
  2. Step 2: Convert to fraction form
    310,744/676,846 = 676,846/x
  3. Step 3: Cross multiply
    310,744x = 676,846 × 676,846
  4. Step 4: Simplify right side
    310,744x = 458,120,507,716
  5. Step 5: Solve for x
    x = 458,120,507,716/310,744
  6. Step 6: Final answer
    x = 1,474,269.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.