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Finding the Third Proportional to 215,785 and 326,677

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Solution

The third proportional to 215,785 and 326,677 is: 494,556.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,785 : 326,677 = 326,677 : x
  2. Step 2: Convert to fraction form
    215,785/326,677 = 326,677/x
  3. Step 3: Cross multiply
    215,785x = 326,677 × 326,677
  4. Step 4: Simplify right side
    215,785x = 106,717,862,329
  5. Step 5: Solve for x
    x = 106,717,862,329/215,785
  6. Step 6: Final answer
    x = 494,556.44

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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.