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Finding the Third Proportional to 1,981.69 and 4,218.19

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Solution

The third proportional to 1,981.69 and 4,218.19 is: 8,978.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.69 : 4,218.19 = 4,218.19 : x
  2. Step 2: Convert to fraction form
    1,981.69/4,218.19 = 4,218.19/x
  3. Step 3: Cross multiply
    1,981.69x = 4,218.19 × 4,218.19
  4. Step 4: Simplify right side
    1,981.69x = 17,793,105.79
  5. Step 5: Solve for x
    x = 17,793,105.79/1,981.69
  6. Step 6: Final answer
    x = 8,978.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.