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Finding the Third Proportional to 1,689.19 and 3,136.22

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Solution

The third proportional to 1,689.19 and 3,136.22 is: 5,822.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.19 : 3,136.22 = 3,136.22 : x
  2. Step 2: Convert to fraction form
    1,689.19/3,136.22 = 3,136.22/x
  3. Step 3: Cross multiply
    1,689.19x = 3,136.22 × 3,136.22
  4. Step 4: Simplify right side
    1,689.19x = 9,835,868.05
  5. Step 5: Solve for x
    x = 9,835,868.05/1,689.19
  6. Step 6: Final answer
    x = 5,822.84

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.