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Finding the Third Proportional to 15.95 and 40.98

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Solution

The third proportional to 15.95 and 40.98 is: 105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.95 : 40.98 = 40.98 : x
  2. Step 2: Convert to fraction form
    15.95/40.98 = 40.98/x
  3. Step 3: Cross multiply
    15.95x = 40.98 × 40.98
  4. Step 4: Simplify right side
    15.95x = 1,679.10
  5. Step 5: Solve for x
    x = 1,679.10/15.95
  6. Step 6: Final answer
    x = 105.25

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.