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Finding the Third Proportional to 12.61 and 21.51

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Solution

The third proportional to 12.61 and 21.51 is: 36.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.61 : 21.51 = 21.51 : x
  2. Step 2: Convert to fraction form
    12.61/21.51 = 21.51/x
  3. Step 3: Cross multiply
    12.61x = 21.51 × 21.51
  4. Step 4: Simplify right side
    12.61x = 462.76
  5. Step 5: Solve for x
    x = 462.76/12.61
  6. Step 6: Final answer
    x = 36.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.