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Finding the Third Proportional to 154 and 228.13

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Solution

The third proportional to 154 and 228.13 is: 337.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    154 : 228.13 = 228.13 : x
  2. Step 2: Convert to fraction form
    154/228.13 = 228.13/x
  3. Step 3: Cross multiply
    154x = 228.13 × 228.13
  4. Step 4: Simplify right side
    154x = 52,041.02
  5. Step 5: Solve for x
    x = 52,041.02/154
  6. Step 6: Final answer
    x = 337.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.