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Finding the Third Proportional to 1,517.91 and 2,435.91

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Solution

The third proportional to 1,517.91 and 2,435.91 is: 3,909.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.91 : 2,435.91 = 2,435.91 : x
  2. Step 2: Convert to fraction form
    1,517.91/2,435.91 = 2,435.91/x
  3. Step 3: Cross multiply
    1,517.91x = 2,435.91 × 2,435.91
  4. Step 4: Simplify right side
    1,517.91x = 5,933,639.26
  5. Step 5: Solve for x
    x = 5,933,639.26/1,517.91
  6. Step 6: Final answer
    x = 3,909.09

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.