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Finding the Third Proportional to 15.98 and 19.43

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Solution

The third proportional to 15.98 and 19.43 is: 23.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.98 : 19.43 = 19.43 : x
  2. Step 2: Convert to fraction form
    15.98/19.43 = 19.43/x
  3. Step 3: Cross multiply
    15.98x = 19.43 × 19.43
  4. Step 4: Simplify right side
    15.98x = 377.51
  5. Step 5: Solve for x
    x = 377.51/15.98
  6. Step 6: Final answer
    x = 23.62

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.