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Finding the Third Proportional to 248.81 and 539.53

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Solution

The third proportional to 248.81 and 539.53 is: 1,169.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.81 : 539.53 = 539.53 : x
  2. Step 2: Convert to fraction form
    248.81/539.53 = 539.53/x
  3. Step 3: Cross multiply
    248.81x = 539.53 × 539.53
  4. Step 4: Simplify right side
    248.81x = 291,093.97
  5. Step 5: Solve for x
    x = 291,093.97/248.81
  6. Step 6: Final answer
    x = 1,169.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.