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Finding the Third Proportional to 30.41 and 39.53

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Solution

The third proportional to 30.41 and 39.53 is: 51.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.41 : 39.53 = 39.53 : x
  2. Step 2: Convert to fraction form
    30.41/39.53 = 39.53/x
  3. Step 3: Cross multiply
    30.41x = 39.53 × 39.53
  4. Step 4: Simplify right side
    30.41x = 1,562.79
  5. Step 5: Solve for x
    x = 1,562.79/30.41
  6. Step 6: Final answer
    x = 51.39

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.