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Finding the Third Proportional to 268.13 and 620.53

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Solution

The third proportional to 268.13 and 620.53 is: 1,436.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.13 : 620.53 = 620.53 : x
  2. Step 2: Convert to fraction form
    268.13/620.53 = 620.53/x
  3. Step 3: Cross multiply
    268.13x = 620.53 × 620.53
  4. Step 4: Simplify right side
    268.13x = 385,059.03
  5. Step 5: Solve for x
    x = 385,059.03/268.13
  6. Step 6: Final answer
    x = 1,436.12

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.