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Finding the Third Proportional to 842.91 and 1,260.14

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Solution

The third proportional to 842.91 and 1,260.14 is: 1,883.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.91 : 1,260.14 = 1,260.14 : x
  2. Step 2: Convert to fraction form
    842.91/1,260.14 = 1,260.14/x
  3. Step 3: Cross multiply
    842.91x = 1,260.14 × 1,260.14
  4. Step 4: Simplify right side
    842.91x = 1,587,954.39
  5. Step 5: Solve for x
    x = 1,587,954.39/842.91
  6. Step 6: Final answer
    x = 1,883.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.