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Finding the Third Proportional to 30.94 and 48.53

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Solution

The third proportional to 30.94 and 48.53 is: 76.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.94 : 48.53 = 48.53 : x
  2. Step 2: Convert to fraction form
    30.94/48.53 = 48.53/x
  3. Step 3: Cross multiply
    30.94x = 48.53 × 48.53
  4. Step 4: Simplify right side
    30.94x = 2,355.28
  5. Step 5: Solve for x
    x = 2,355.28/30.94
  6. Step 6: Final answer
    x = 76.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.