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Finding the Third Proportional to 15 and 23.63

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Solution

The third proportional to 15 and 23.63 is: 37.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15 : 23.63 = 23.63 : x
  2. Step 2: Convert to fraction form
    15/23.63 = 23.63/x
  3. Step 3: Cross multiply
    15x = 23.63 × 23.63
  4. Step 4: Simplify right side
    15x = 558.14
  5. Step 5: Solve for x
    x = 558.14/15
  6. Step 6: Final answer
    x = 37.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.