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Finding the Third Proportional to 844.31 and 1,292.91

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Solution

The third proportional to 844.31 and 1,292.91 is: 1,979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.31 : 1,292.91 = 1,292.91 : x
  2. Step 2: Convert to fraction form
    844.31/1,292.91 = 1,292.91/x
  3. Step 3: Cross multiply
    844.31x = 1,292.91 × 1,292.91
  4. Step 4: Simplify right side
    844.31x = 1,671,606.57
  5. Step 5: Solve for x
    x = 1,671,606.57/844.31
  6. Step 6: Final answer
    x = 1,979.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.