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Finding the Third Proportional to 1,871.26 and 3,118.61

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Solution

The third proportional to 1,871.26 and 3,118.61 is: 5,197.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.26 : 3,118.61 = 3,118.61 : x
  2. Step 2: Convert to fraction form
    1,871.26/3,118.61 = 3,118.61/x
  3. Step 3: Cross multiply
    1,871.26x = 3,118.61 × 3,118.61
  4. Step 4: Simplify right side
    1,871.26x = 9,725,700.07
  5. Step 5: Solve for x
    x = 9,725,700.07/1,871.26
  6. Step 6: Final answer
    x = 5,197.40

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.