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Finding the Third Proportional to 216,456 and 294,876

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Solution

The third proportional to 216,456 and 294,876 is: 401,706.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,456 : 294,876 = 294,876 : x
  2. Step 2: Convert to fraction form
    216,456/294,876 = 294,876/x
  3. Step 3: Cross multiply
    216,456x = 294,876 × 294,876
  4. Step 4: Simplify right side
    216,456x = 86,951,855,376
  5. Step 5: Solve for x
    x = 86,951,855,376/216,456
  6. Step 6: Final answer
    x = 401,706.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.