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Finding the Third Proportional to 143.88 and 228.81

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Solution

The third proportional to 143.88 and 228.81 is: 363.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.88 : 228.81 = 228.81 : x
  2. Step 2: Convert to fraction form
    143.88/228.81 = 228.81/x
  3. Step 3: Cross multiply
    143.88x = 228.81 × 228.81
  4. Step 4: Simplify right side
    143.88x = 52,355.16
  5. Step 5: Solve for x
    x = 52,355.16/143.88
  6. Step 6: Final answer
    x = 363.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.