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Finding the Third Proportional to 215,876 and 440,312

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Solution

The third proportional to 215,876 and 440,312 is: 898,083.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,876 : 440,312 = 440,312 : x
  2. Step 2: Convert to fraction form
    215,876/440,312 = 440,312/x
  3. Step 3: Cross multiply
    215,876x = 440,312 × 440,312
  4. Step 4: Simplify right side
    215,876x = 193,874,657,344
  5. Step 5: Solve for x
    x = 193,874,657,344/215,876
  6. Step 6: Final answer
    x = 898,083.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.