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Finding the Third Proportional to 6,111 and 10,902

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Solution

The third proportional to 6,111 and 10,902 is: 19,449.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111 : 10,902 = 10,902 : x
  2. Step 2: Convert to fraction form
    6,111/10,902 = 10,902/x
  3. Step 3: Cross multiply
    6,111x = 10,902 × 10,902
  4. Step 4: Simplify right side
    6,111x = 118,853,604
  5. Step 5: Solve for x
    x = 118,853,604/6,111
  6. Step 6: Final answer
    x = 19,449.13

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.