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Finding the Third Proportional to 318,912 and 433,305

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Solution

The third proportional to 318,912 and 433,305 is: 588,730.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,912 : 433,305 = 433,305 : x
  2. Step 2: Convert to fraction form
    318,912/433,305 = 433,305/x
  3. Step 3: Cross multiply
    318,912x = 433,305 × 433,305
  4. Step 4: Simplify right side
    318,912x = 187,753,223,025
  5. Step 5: Solve for x
    x = 187,753,223,025/318,912
  6. Step 6: Final answer
    x = 588,730.51

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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.