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Finding the Third Proportional to 6.90 and 10.54

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Solution

The third proportional to 6.90 and 10.54 is: 16.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.90 : 10.54 = 10.54 : x
  2. Step 2: Convert to fraction form
    6.90/10.54 = 10.54/x
  3. Step 3: Cross multiply
    6.90x = 10.54 × 10.54
  4. Step 4: Simplify right side
    6.90x = 111.00
  5. Step 5: Solve for x
    x = 111.00/6.90
  6. Step 6: Final answer
    x = 16.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.