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Finding the Third Proportional to 18,118.69 and 27,998.16

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Solution

The third proportional to 18,118.69 and 27,998.16 is: 43,264.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,118.69 : 27,998.16 = 27,998.16 : x
  2. Step 2: Convert to fraction form
    18,118.69/27,998.16 = 27,998.16/x
  3. Step 3: Cross multiply
    18,118.69x = 27,998.16 × 27,998.16
  4. Step 4: Simplify right side
    18,118.69x = 783,896,753.40
  5. Step 5: Solve for x
    x = 783,896,753.40/18,118.69
  6. Step 6: Final answer
    x = 43,264.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.