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Finding the Third Proportional to 576.91 and 865.18

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Solution

The third proportional to 576.91 and 865.18 is: 1,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.91 : 865.18 = 865.18 : x
  2. Step 2: Convert to fraction form
    576.91/865.18 = 865.18/x
  3. Step 3: Cross multiply
    576.91x = 865.18 × 865.18
  4. Step 4: Simplify right side
    576.91x = 748,532.51
  5. Step 5: Solve for x
    x = 748,532.51/576.91
  6. Step 6: Final answer
    x = 1,297.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.