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Finding the Third Proportional to 21.19 and 31.03

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Solution

The third proportional to 21.19 and 31.03 is: 45.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.19 : 31.03 = 31.03 : x
  2. Step 2: Convert to fraction form
    21.19/31.03 = 31.03/x
  3. Step 3: Cross multiply
    21.19x = 31.03 × 31.03
  4. Step 4: Simplify right side
    21.19x = 962.94
  5. Step 5: Solve for x
    x = 962.94/21.19
  6. Step 6: Final answer
    x = 45.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.