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Finding the Third Proportional to 4,140 and 11,118

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Solution

The third proportional to 4,140 and 11,118 is: 29,857.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140 : 11,118 = 11,118 : x
  2. Step 2: Convert to fraction form
    4,140/11,118 = 11,118/x
  3. Step 3: Cross multiply
    4,140x = 11,118 × 11,118
  4. Step 4: Simplify right side
    4,140x = 123,609,924
  5. Step 5: Solve for x
    x = 123,609,924/4,140
  6. Step 6: Final answer
    x = 29,857.47

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.