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Finding the Third Proportional to 153.81 and 235.56

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Solution

The third proportional to 153.81 and 235.56 is: 360.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.81 : 235.56 = 235.56 : x
  2. Step 2: Convert to fraction form
    153.81/235.56 = 235.56/x
  3. Step 3: Cross multiply
    153.81x = 235.56 × 235.56
  4. Step 4: Simplify right side
    153.81x = 55,489.69
  5. Step 5: Solve for x
    x = 55,489.69/153.81
  6. Step 6: Final answer
    x = 360.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.