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Finding the Third Proportional to 15.88 and 40.94

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Solution

The third proportional to 15.88 and 40.94 is: 105.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.88 : 40.94 = 40.94 : x
  2. Step 2: Convert to fraction form
    15.88/40.94 = 40.94/x
  3. Step 3: Cross multiply
    15.88x = 40.94 × 40.94
  4. Step 4: Simplify right side
    15.88x = 1,675.88
  5. Step 5: Solve for x
    x = 1,675.88/15.88
  6. Step 6: Final answer
    x = 105.57

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Why These Related Problems?

These problems maintain the same ratio (2.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.