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Finding the Third Proportional to 114.84 and 202.88

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Solution

The third proportional to 114.84 and 202.88 is: 358.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.84 : 202.88 = 202.88 : x
  2. Step 2: Convert to fraction form
    114.84/202.88 = 202.88/x
  3. Step 3: Cross multiply
    114.84x = 202.88 × 202.88
  4. Step 4: Simplify right side
    114.84x = 41,158.27
  5. Step 5: Solve for x
    x = 41,158.27/114.84
  6. Step 6: Final answer
    x = 358.38

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.