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Finding the Third Proportional to 318,906 and 433,296

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Solution

The third proportional to 318,906 and 433,296 is: 588,717.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,906 : 433,296 = 433,296 : x
  2. Step 2: Convert to fraction form
    318,906/433,296 = 433,296/x
  3. Step 3: Cross multiply
    318,906x = 433,296 × 433,296
  4. Step 4: Simplify right side
    318,906x = 187,745,423,616
  5. Step 5: Solve for x
    x = 187,745,423,616/318,906
  6. Step 6: Final answer
    x = 588,717.13

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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.