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Finding the Third Proportional to 70.12 and 97.71

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Solution

The third proportional to 70.12 and 97.71 is: 136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.12 : 97.71 = 97.71 : x
  2. Step 2: Convert to fraction form
    70.12/97.71 = 97.71/x
  3. Step 3: Cross multiply
    70.12x = 97.71 × 97.71
  4. Step 4: Simplify right side
    70.12x = 9,547.28
  5. Step 5: Solve for x
    x = 9,547.28/70.12
  6. Step 6: Final answer
    x = 136.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.