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Finding the Third Proportional to 842.91 and 1,366.17

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Solution

The third proportional to 842.91 and 1,366.17 is: 2,214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.91 : 1,366.17 = 1,366.17 : x
  2. Step 2: Convert to fraction form
    842.91/1,366.17 = 1,366.17/x
  3. Step 3: Cross multiply
    842.91x = 1,366.17 × 1,366.17
  4. Step 4: Simplify right side
    842.91x = 1,866,425.59
  5. Step 5: Solve for x
    x = 1,866,425.59/842.91
  6. Step 6: Final answer
    x = 2,214.27

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.