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Finding the Third Proportional to 7.80 and 18.98

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Solution

The third proportional to 7.80 and 18.98 is: 46.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.80 : 18.98 = 18.98 : x
  2. Step 2: Convert to fraction form
    7.80/18.98 = 18.98/x
  3. Step 3: Cross multiply
    7.80x = 18.98 × 18.98
  4. Step 4: Simplify right side
    7.80x = 360.41
  5. Step 5: Solve for x
    x = 360.41/7.80
  6. Step 6: Final answer
    x = 46.18

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.