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Finding the Third Proportional to 1,998.84 and 3,613.78

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Solution

The third proportional to 1,998.84 and 3,613.78 is: 6,533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.84 : 3,613.78 = 3,613.78 : x
  2. Step 2: Convert to fraction form
    1,998.84/3,613.78 = 3,613.78/x
  3. Step 3: Cross multiply
    1,998.84x = 3,613.78 × 3,613.78
  4. Step 4: Simplify right side
    1,998.84x = 13,059,414.92
  5. Step 5: Solve for x
    x = 13,059,414.92/1,998.84
  6. Step 6: Final answer
    x = 6,533.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.