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Finding the Third Proportional to 30.59 and 47.44

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Solution

The third proportional to 30.59 and 47.44 is: 73.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.59 : 47.44 = 47.44 : x
  2. Step 2: Convert to fraction form
    30.59/47.44 = 47.44/x
  3. Step 3: Cross multiply
    30.59x = 47.44 × 47.44
  4. Step 4: Simplify right side
    30.59x = 2,250.32
  5. Step 5: Solve for x
    x = 2,250.32/30.59
  6. Step 6: Final answer
    x = 73.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.