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Finding the Third Proportional to 311,917 and 472,278

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Solution

The third proportional to 311,917 and 472,278 is: 715,082.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,917 : 472,278 = 472,278 : x
  2. Step 2: Convert to fraction form
    311,917/472,278 = 472,278/x
  3. Step 3: Cross multiply
    311,917x = 472,278 × 472,278
  4. Step 4: Simplify right side
    311,917x = 223,046,509,284
  5. Step 5: Solve for x
    x = 223,046,509,284/311,917
  6. Step 6: Final answer
    x = 715,082.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.