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Finding the Third Proportional to 266.63 and 581.81

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Solution

The third proportional to 266.63 and 581.81 is: 1,269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.63 : 581.81 = 581.81 : x
  2. Step 2: Convert to fraction form
    266.63/581.81 = 581.81/x
  3. Step 3: Cross multiply
    266.63x = 581.81 × 581.81
  4. Step 4: Simplify right side
    266.63x = 338,505.79
  5. Step 5: Solve for x
    x = 338,505.79/266.63
  6. Step 6: Final answer
    x = 1,269.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.