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Finding the Third Proportional to 4.70 and 9.98

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Solution

The third proportional to 4.70 and 9.98 is: 21.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.70 : 9.98 = 9.98 : x
  2. Step 2: Convert to fraction form
    4.70/9.98 = 9.98/x
  3. Step 3: Cross multiply
    4.70x = 9.98 × 9.98
  4. Step 4: Simplify right side
    4.70x = 99.56
  5. Step 5: Solve for x
    x = 99.56/4.70
  6. Step 6: Final answer
    x = 21.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.