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Finding the Third Proportional to 30.56 and 46.78

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Solution

The third proportional to 30.56 and 46.78 is: 71.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.56 : 46.78 = 46.78 : x
  2. Step 2: Convert to fraction form
    30.56/46.78 = 46.78/x
  3. Step 3: Cross multiply
    30.56x = 46.78 × 46.78
  4. Step 4: Simplify right side
    30.56x = 2,188.49
  5. Step 5: Solve for x
    x = 2,188.49/30.56
  6. Step 6: Final answer
    x = 71.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.