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Finding the Third Proportional to 88.83 and 137.53

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Solution

The third proportional to 88.83 and 137.53 is: 212.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.83 : 137.53 = 137.53 : x
  2. Step 2: Convert to fraction form
    88.83/137.53 = 137.53/x
  3. Step 3: Cross multiply
    88.83x = 137.53 × 137.53
  4. Step 4: Simplify right side
    88.83x = 18,914.84
  5. Step 5: Solve for x
    x = 18,914.84/88.83
  6. Step 6: Final answer
    x = 212.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.