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Finding the Third Proportional to 10,200 and 15,110

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Solution

The third proportional to 10,200 and 15,110 is: 22,383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200 : 15,110 = 15,110 : x
  2. Step 2: Convert to fraction form
    10,200/15,110 = 15,110/x
  3. Step 3: Cross multiply
    10,200x = 15,110 × 15,110
  4. Step 4: Simplify right side
    10,200x = 228,312,100
  5. Step 5: Solve for x
    x = 228,312,100/10,200
  6. Step 6: Final answer
    x = 22,383.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.