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Finding the Third Proportional to 217,442 and 306,206

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Solution

The third proportional to 217,442 and 306,206 is: 431,205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,442 : 306,206 = 306,206 : x
  2. Step 2: Convert to fraction form
    217,442/306,206 = 306,206/x
  3. Step 3: Cross multiply
    217,442x = 306,206 × 306,206
  4. Step 4: Simplify right side
    217,442x = 93,762,114,436
  5. Step 5: Solve for x
    x = 93,762,114,436/217,442
  6. Step 6: Final answer
    x = 431,205.17

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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.