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Finding the Third Proportional to 18,910 and 40,211

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Solution

The third proportional to 18,910 and 40,211 is: 85,506.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,910 : 40,211 = 40,211 : x
  2. Step 2: Convert to fraction form
    18,910/40,211 = 40,211/x
  3. Step 3: Cross multiply
    18,910x = 40,211 × 40,211
  4. Step 4: Simplify right side
    18,910x = 1,616,924,521
  5. Step 5: Solve for x
    x = 1,616,924,521/18,910
  6. Step 6: Final answer
    x = 85,506.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.