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Finding the Third Proportional to 19.64 and 30.18

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Solution

The third proportional to 19.64 and 30.18 is: 46.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.64 : 30.18 = 30.18 : x
  2. Step 2: Convert to fraction form
    19.64/30.18 = 30.18/x
  3. Step 3: Cross multiply
    19.64x = 30.18 × 30.18
  4. Step 4: Simplify right side
    19.64x = 910.67
  5. Step 5: Solve for x
    x = 910.67/19.64
  6. Step 6: Final answer
    x = 46.38

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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.