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Finding the Third Proportional to 110.10 and 153.93

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Solution

The third proportional to 110.10 and 153.93 is: 215.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.10 : 153.93 = 153.93 : x
  2. Step 2: Convert to fraction form
    110.10/153.93 = 153.93/x
  3. Step 3: Cross multiply
    110.10x = 153.93 × 153.93
  4. Step 4: Simplify right side
    110.10x = 23,693.15
  5. Step 5: Solve for x
    x = 23,693.15/110.10
  6. Step 6: Final answer
    x = 215.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.