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Finding the Third Proportional to 32.98 and 79.90

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Solution

The third proportional to 32.98 and 79.90 is: 193.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.98 : 79.90 = 79.90 : x
  2. Step 2: Convert to fraction form
    32.98/79.90 = 79.90/x
  3. Step 3: Cross multiply
    32.98x = 79.90 × 79.90
  4. Step 4: Simplify right side
    32.98x = 6,384.18
  5. Step 5: Solve for x
    x = 6,384.18/32.98
  6. Step 6: Final answer
    x = 193.61

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.