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Finding the Third Proportional to 153.84 and 228.52

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Solution

The third proportional to 153.84 and 228.52 is: 339.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.84 : 228.52 = 228.52 : x
  2. Step 2: Convert to fraction form
    153.84/228.52 = 228.52/x
  3. Step 3: Cross multiply
    153.84x = 228.52 × 228.52
  4. Step 4: Simplify right side
    153.84x = 52,219.39
  5. Step 5: Solve for x
    x = 52,219.39/153.84
  6. Step 6: Final answer
    x = 339.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.