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Finding the Third Proportional to 268,478 and 363,324

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Solution

The third proportional to 268,478 and 363,324 is: 491,676.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,478 : 363,324 = 363,324 : x
  2. Step 2: Convert to fraction form
    268,478/363,324 = 363,324/x
  3. Step 3: Cross multiply
    268,478x = 363,324 × 363,324
  4. Step 4: Simplify right side
    268,478x = 132,004,328,976
  5. Step 5: Solve for x
    x = 132,004,328,976/268,478
  6. Step 6: Final answer
    x = 491,676.52

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.