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Finding the Third Proportional to 45,216 and 68,876

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Solution

The third proportional to 45,216 and 68,876 is: 104,916.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,216 : 68,876 = 68,876 : x
  2. Step 2: Convert to fraction form
    45,216/68,876 = 68,876/x
  3. Step 3: Cross multiply
    45,216x = 68,876 × 68,876
  4. Step 4: Simplify right side
    45,216x = 4,743,903,376
  5. Step 5: Solve for x
    x = 4,743,903,376/45,216
  6. Step 6: Final answer
    x = 104,916.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.