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Finding the Third Proportional to 217,466 and 306,242

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Solution

The third proportional to 217,466 and 306,242 is: 431,258.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,466 : 306,242 = 306,242 : x
  2. Step 2: Convert to fraction form
    217,466/306,242 = 306,242/x
  3. Step 3: Cross multiply
    217,466x = 306,242 × 306,242
  4. Step 4: Simplify right side
    217,466x = 93,784,162,564
  5. Step 5: Solve for x
    x = 93,784,162,564/217,466
  6. Step 6: Final answer
    x = 431,258.97

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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.