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Finding the Third Proportional to 6.98 and 15.77

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Solution

The third proportional to 6.98 and 15.77 is: 35.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.98 : 15.77 = 15.77 : x
  2. Step 2: Convert to fraction form
    6.98/15.77 = 15.77/x
  3. Step 3: Cross multiply
    6.98x = 15.77 × 15.77
  4. Step 4: Simplify right side
    6.98x = 248.62
  5. Step 5: Solve for x
    x = 248.62/6.98
  6. Step 6: Final answer
    x = 35.60

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.