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Finding the Third Proportional to 9.98 and 21.45

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Solution

The third proportional to 9.98 and 21.45 is: 46.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.98 : 21.45 = 21.45 : x
  2. Step 2: Convert to fraction form
    9.98/21.45 = 21.45/x
  3. Step 3: Cross multiply
    9.98x = 21.45 × 21.45
  4. Step 4: Simplify right side
    9.98x = 459.90
  5. Step 5: Solve for x
    x = 459.90/9.98
  6. Step 6: Final answer
    x = 46.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.