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Finding the Third Proportional to 15.02 and 23.03

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Solution

The third proportional to 15.02 and 23.03 is: 35.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.02 : 23.03 = 23.03 : x
  2. Step 2: Convert to fraction form
    15.02/23.03 = 23.03/x
  3. Step 3: Cross multiply
    15.02x = 23.03 × 23.03
  4. Step 4: Simplify right side
    15.02x = 530.46
  5. Step 5: Solve for x
    x = 530.46/15.02
  6. Step 6: Final answer
    x = 35.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.