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Finding the Third Proportional to 88.41 and 115.51

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Solution

The third proportional to 88.41 and 115.51 is: 150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.41 : 115.51 = 115.51 : x
  2. Step 2: Convert to fraction form
    88.41/115.51 = 115.51/x
  3. Step 3: Cross multiply
    88.41x = 115.51 × 115.51
  4. Step 4: Simplify right side
    88.41x = 13,343.63
  5. Step 5: Solve for x
    x = 13,343.63/88.41
  6. Step 6: Final answer
    x = 150.93

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.