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Finding the Third Proportional to 10,072 and 11,140

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Solution

The third proportional to 10,072 and 11,140 is: 12,321.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072 : 11,140 = 11,140 : x
  2. Step 2: Convert to fraction form
    10,072/11,140 = 11,140/x
  3. Step 3: Cross multiply
    10,072x = 11,140 × 11,140
  4. Step 4: Simplify right side
    10,072x = 124,099,600
  5. Step 5: Solve for x
    x = 124,099,600/10,072
  6. Step 6: Final answer
    x = 12,321.25

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.