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Finding the Third Proportional to 266.81 and 620.53

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Solution

The third proportional to 266.81 and 620.53 is: 1,443.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.81 : 620.53 = 620.53 : x
  2. Step 2: Convert to fraction form
    266.81/620.53 = 620.53/x
  3. Step 3: Cross multiply
    266.81x = 620.53 × 620.53
  4. Step 4: Simplify right side
    266.81x = 385,059.03
  5. Step 5: Solve for x
    x = 385,059.03/266.81
  6. Step 6: Final answer
    x = 1,443.18

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.