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Finding the Third Proportional to 88.07 and 138.74

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Solution

The third proportional to 88.07 and 138.74 is: 218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.07 : 138.74 = 138.74 : x
  2. Step 2: Convert to fraction form
    88.07/138.74 = 138.74/x
  3. Step 3: Cross multiply
    88.07x = 138.74 × 138.74
  4. Step 4: Simplify right side
    88.07x = 19,249.94
  5. Step 5: Solve for x
    x = 19,249.94/88.07
  6. Step 6: Final answer
    x = 218.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.