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Finding the Third Proportional to 217,484 and 306,261

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Solution

The third proportional to 217,484 and 306,261 is: 431,276.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,484 : 306,261 = 306,261 : x
  2. Step 2: Convert to fraction form
    217,484/306,261 = 306,261/x
  3. Step 3: Cross multiply
    217,484x = 306,261 × 306,261
  4. Step 4: Simplify right side
    217,484x = 93,795,800,121
  5. Step 5: Solve for x
    x = 93,795,800,121/217,484
  6. Step 6: Final answer
    x = 431,276.78

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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.