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Finding the Third Proportional to 8.98 and 19.53

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Solution

The third proportional to 8.98 and 19.53 is: 42.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.98 : 19.53 = 19.53 : x
  2. Step 2: Convert to fraction form
    8.98/19.53 = 19.53/x
  3. Step 3: Cross multiply
    8.98x = 19.53 × 19.53
  4. Step 4: Simplify right side
    8.98x = 381.34
  5. Step 5: Solve for x
    x = 381.34/8.98
  6. Step 6: Final answer
    x = 42.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.