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Finding the Third Proportional to 6.42 and 10.70

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Solution

The third proportional to 6.42 and 10.70 is: 17.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.42 : 10.70 = 10.70 : x
  2. Step 2: Convert to fraction form
    6.42/10.70 = 10.70/x
  3. Step 3: Cross multiply
    6.42x = 10.70 × 10.70
  4. Step 4: Simplify right side
    6.42x = 114.51
  5. Step 5: Solve for x
    x = 114.51/6.42
  6. Step 6: Final answer
    x = 17.84

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.