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Finding the Third Proportional to 13.61 and 31.01

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Solution

The third proportional to 13.61 and 31.01 is: 70.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.61 : 31.01 = 31.01 : x
  2. Step 2: Convert to fraction form
    13.61/31.01 = 31.01/x
  3. Step 3: Cross multiply
    13.61x = 31.01 × 31.01
  4. Step 4: Simplify right side
    13.61x = 961.48
  5. Step 5: Solve for x
    x = 961.48/13.61
  6. Step 6: Final answer
    x = 70.67

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.