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Finding the Third Proportional to 15.23 and 16.40

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Solution

The third proportional to 15.23 and 16.40 is: 17.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.23 : 16.40 = 16.40 : x
  2. Step 2: Convert to fraction form
    15.23/16.40 = 16.40/x
  3. Step 3: Cross multiply
    15.23x = 16.40 × 16.40
  4. Step 4: Simplify right side
    15.23x = 269.07
  5. Step 5: Solve for x
    x = 269.07/15.23
  6. Step 6: Final answer
    x = 17.67

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.