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Finding the Third Proportional to 153.70 and 228.23

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Solution

The third proportional to 153.70 and 228.23 is: 338.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.70 : 228.23 = 228.23 : x
  2. Step 2: Convert to fraction form
    153.70/228.23 = 228.23/x
  3. Step 3: Cross multiply
    153.70x = 228.23 × 228.23
  4. Step 4: Simplify right side
    153.70x = 52,090.93
  5. Step 5: Solve for x
    x = 52,090.93/153.70
  6. Step 6: Final answer
    x = 338.91

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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.