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Finding the Third Proportional to 299,458.50 and 328,983

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Solution

The third proportional to 299,458.50 and 328,983 is: 361,418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,458.50 : 328,983 = 328,983 : x
  2. Step 2: Convert to fraction form
    299,458.50/328,983 = 328,983/x
  3. Step 3: Cross multiply
    299,458.50x = 328,983 × 328,983
  4. Step 4: Simplify right side
    299,458.50x = 108,229,814,289
  5. Step 5: Solve for x
    x = 108,229,814,289/299,458.50
  6. Step 6: Final answer
    x = 361,418.41

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.