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Finding the Third Proportional to 217,876 and 308,310

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Solution

The third proportional to 217,876 and 308,310 is: 436,280.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,876 : 308,310 = 308,310 : x
  2. Step 2: Convert to fraction form
    217,876/308,310 = 308,310/x
  3. Step 3: Cross multiply
    217,876x = 308,310 × 308,310
  4. Step 4: Simplify right side
    217,876x = 95,055,056,100
  5. Step 5: Solve for x
    x = 95,055,056,100/217,876
  6. Step 6: Final answer
    x = 436,280.53

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.