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Finding the Third Proportional to 10,876 and 23,480

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Solution

The third proportional to 10,876 and 23,480 is: 50,690.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876 : 23,480 = 23,480 : x
  2. Step 2: Convert to fraction form
    10,876/23,480 = 23,480/x
  3. Step 3: Cross multiply
    10,876x = 23,480 × 23,480
  4. Step 4: Simplify right side
    10,876x = 551,310,400
  5. Step 5: Solve for x
    x = 551,310,400/10,876
  6. Step 6: Final answer
    x = 50,690.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.