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Finding the Third Proportional to 61.42 and 70.14

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Solution

The third proportional to 61.42 and 70.14 is: 80.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.42 : 70.14 = 70.14 : x
  2. Step 2: Convert to fraction form
    61.42/70.14 = 70.14/x
  3. Step 3: Cross multiply
    61.42x = 70.14 × 70.14
  4. Step 4: Simplify right side
    61.42x = 4,919.16
  5. Step 5: Solve for x
    x = 4,919.16/61.42
  6. Step 6: Final answer
    x = 80.09

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.