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Finding the Third Proportional to 15.80 and 18.63

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Solution

The third proportional to 15.80 and 18.63 is: 21.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.80 : 18.63 = 18.63 : x
  2. Step 2: Convert to fraction form
    15.80/18.63 = 18.63/x
  3. Step 3: Cross multiply
    15.80x = 18.63 × 18.63
  4. Step 4: Simplify right side
    15.80x = 347.18
  5. Step 5: Solve for x
    x = 347.18/15.80
  6. Step 6: Final answer
    x = 21.98

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.