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Finding the Third Proportional to 318,950 and 433,353

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Solution

The third proportional to 318,950 and 433,353 is: 588,790.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,950 : 433,353 = 433,353 : x
  2. Step 2: Convert to fraction form
    318,950/433,353 = 433,353/x
  3. Step 3: Cross multiply
    318,950x = 433,353 × 433,353
  4. Step 4: Simplify right side
    318,950x = 187,794,822,609
  5. Step 5: Solve for x
    x = 187,794,822,609/318,950
  6. Step 6: Final answer
    x = 588,790.79

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.