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Finding the Third Proportional to 21 and 32.25

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Solution

The third proportional to 21 and 32.25 is: 49.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21 : 32.25 = 32.25 : x
  2. Step 2: Convert to fraction form
    21/32.25 = 32.25/x
  3. Step 3: Cross multiply
    21x = 32.25 × 32.25
  4. Step 4: Simplify right side
    21x = 1,040.06
  5. Step 5: Solve for x
    x = 1,040.06/21
  6. Step 6: Final answer
    x = 49.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.