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Finding the Third Proportional to 217,508 and 306,302

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Solution

The third proportional to 217,508 and 306,302 is: 431,344.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,508 : 306,302 = 306,302 : x
  2. Step 2: Convert to fraction form
    217,508/306,302 = 306,302/x
  3. Step 3: Cross multiply
    217,508x = 306,302 × 306,302
  4. Step 4: Simplify right side
    217,508x = 93,820,915,204
  5. Step 5: Solve for x
    x = 93,820,915,204/217,508
  6. Step 6: Final answer
    x = 431,344.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.