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Finding the Third Proportional to 14.63 and 19.31

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Solution

The third proportional to 14.63 and 19.31 is: 25.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.63 : 19.31 = 19.31 : x
  2. Step 2: Convert to fraction form
    14.63/19.31 = 19.31/x
  3. Step 3: Cross multiply
    14.63x = 19.31 × 19.31
  4. Step 4: Simplify right side
    14.63x = 372.97
  5. Step 5: Solve for x
    x = 372.97/14.63
  6. Step 6: Final answer
    x = 25.50

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.