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Finding the Third Proportional to 472,520 and 682,284

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Solution

The third proportional to 472,520 and 682,284 is: 985,167.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,520 : 682,284 = 682,284 : x
  2. Step 2: Convert to fraction form
    472,520/682,284 = 682,284/x
  3. Step 3: Cross multiply
    472,520x = 682,284 × 682,284
  4. Step 4: Simplify right side
    472,520x = 465,511,456,656
  5. Step 5: Solve for x
    x = 465,511,456,656/472,520
  6. Step 6: Final answer
    x = 985,167.73

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.