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Finding the Third Proportional to 1.42 and 4.98

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Solution

The third proportional to 1.42 and 4.98 is: 17.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.42 : 4.98 = 4.98 : x
  2. Step 2: Convert to fraction form
    1.42/4.98 = 4.98/x
  3. Step 3: Cross multiply
    1.42x = 4.98 × 4.98
  4. Step 4: Simplify right side
    1.42x = 24.83
  5. Step 5: Solve for x
    x = 24.83/1.42
  6. Step 6: Final answer
    x = 17.44

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Why These Related Problems?

These problems maintain the same ratio (3.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.