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Finding the Third Proportional to 113.63 and 174.87

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Solution

The third proportional to 113.63 and 174.87 is: 269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.63 : 174.87 = 174.87 : x
  2. Step 2: Convert to fraction form
    113.63/174.87 = 174.87/x
  3. Step 3: Cross multiply
    113.63x = 174.87 × 174.87
  4. Step 4: Simplify right side
    113.63x = 30,578.53
  5. Step 5: Solve for x
    x = 30,578.53/113.63
  6. Step 6: Final answer
    x = 269.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.