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Finding the Third Proportional to 102.19 and 153.38

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Solution

The third proportional to 102.19 and 153.38 is: 230.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.19 : 153.38 = 153.38 : x
  2. Step 2: Convert to fraction form
    102.19/153.38 = 153.38/x
  3. Step 3: Cross multiply
    102.19x = 153.38 × 153.38
  4. Step 4: Simplify right side
    102.19x = 23,523.89
  5. Step 5: Solve for x
    x = 23,523.89/102.19
  6. Step 6: Final answer
    x = 230.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.