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Finding the Third Proportional to 21 and 34.56

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Solution

The third proportional to 21 and 34.56 is: 56.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21 : 34.56 = 34.56 : x
  2. Step 2: Convert to fraction form
    21/34.56 = 34.56/x
  3. Step 3: Cross multiply
    21x = 34.56 × 34.56
  4. Step 4: Simplify right side
    21x = 1,194.57
  5. Step 5: Solve for x
    x = 1,194.57/21
  6. Step 6: Final answer
    x = 56.88

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.