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Finding the Third Proportional to 295,917 and 647,055

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Solution

The third proportional to 295,917 and 647,055 is: 1,414,856.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,917 : 647,055 = 647,055 : x
  2. Step 2: Convert to fraction form
    295,917/647,055 = 647,055/x
  3. Step 3: Cross multiply
    295,917x = 647,055 × 647,055
  4. Step 4: Simplify right side
    295,917x = 418,680,173,025
  5. Step 5: Solve for x
    x = 418,680,173,025/295,917
  6. Step 6: Final answer
    x = 1,414,856.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.