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Finding the Third Proportional to 101.02 and 135.45

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Solution

The third proportional to 101.02 and 135.45 is: 181.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.02 : 135.45 = 135.45 : x
  2. Step 2: Convert to fraction form
    101.02/135.45 = 135.45/x
  3. Step 3: Cross multiply
    101.02x = 135.45 × 135.45
  4. Step 4: Simplify right side
    101.02x = 18,345.43
  5. Step 5: Solve for x
    x = 18,345.43/101.02
  6. Step 6: Final answer
    x = 181.61

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.