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Finding the Third Proportional to 117.39 and 270.53

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Solution

The third proportional to 117.39 and 270.53 is: 623.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.39 : 270.53 = 270.53 : x
  2. Step 2: Convert to fraction form
    117.39/270.53 = 270.53/x
  3. Step 3: Cross multiply
    117.39x = 270.53 × 270.53
  4. Step 4: Simplify right side
    117.39x = 73,185.04
  5. Step 5: Solve for x
    x = 73,185.04/117.39
  6. Step 6: Final answer
    x = 623.45

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.