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Finding the Third Proportional to 135.53 and 181.51

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Solution

The third proportional to 135.53 and 181.51 is: 243.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.53 : 181.51 = 181.51 : x
  2. Step 2: Convert to fraction form
    135.53/181.51 = 181.51/x
  3. Step 3: Cross multiply
    135.53x = 181.51 × 181.51
  4. Step 4: Simplify right side
    135.53x = 32,946.50
  5. Step 5: Solve for x
    x = 32,946.50/135.53
  6. Step 6: Final answer
    x = 243.10

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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.