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Finding the Third Proportional to 19.13 and 30.52

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Solution

The third proportional to 19.13 and 30.52 is: 48.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.13 : 30.52 = 30.52 : x
  2. Step 2: Convert to fraction form
    19.13/30.52 = 30.52/x
  3. Step 3: Cross multiply
    19.13x = 30.52 × 30.52
  4. Step 4: Simplify right side
    19.13x = 931.20
  5. Step 5: Solve for x
    x = 931.20/19.13
  6. Step 6: Final answer
    x = 48.69

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.