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Finding the Third Proportional to 1,645.17 and 2,184.19

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Solution

The third proportional to 1,645.17 and 2,184.19 is: 2,899.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.17 : 2,184.19 = 2,184.19 : x
  2. Step 2: Convert to fraction form
    1,645.17/2,184.19 = 2,184.19/x
  3. Step 3: Cross multiply
    1,645.17x = 2,184.19 × 2,184.19
  4. Step 4: Simplify right side
    1,645.17x = 4,770,675.04
  5. Step 5: Solve for x
    x = 4,770,675.04/1,645.17
  6. Step 6: Final answer
    x = 2,899.80

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.