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Finding the Third Proportional to 266.81 and 551.91

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Solution

The third proportional to 266.81 and 551.91 is: 1,141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.81 : 551.91 = 551.91 : x
  2. Step 2: Convert to fraction form
    266.81/551.91 = 551.91/x
  3. Step 3: Cross multiply
    266.81x = 551.91 × 551.91
  4. Step 4: Simplify right side
    266.81x = 304,600.51
  5. Step 5: Solve for x
    x = 304,600.51/266.81
  6. Step 6: Final answer
    x = 1,141.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.