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Finding the Third Proportional to 827.91 and 1,160.39

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Solution

The third proportional to 827.91 and 1,160.39 is: 1,626.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.91 : 1,160.39 = 1,160.39 : x
  2. Step 2: Convert to fraction form
    827.91/1,160.39 = 1,160.39/x
  3. Step 3: Cross multiply
    827.91x = 1,160.39 × 1,160.39
  4. Step 4: Simplify right side
    827.91x = 1,346,506.40
  5. Step 5: Solve for x
    x = 1,346,506.40/827.91
  6. Step 6: Final answer
    x = 1,626.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.