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Finding the Third Proportional to 30 and 39.94

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Solution

The third proportional to 30 and 39.94 is: 53.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30 : 39.94 = 39.94 : x
  2. Step 2: Convert to fraction form
    30/39.94 = 39.94/x
  3. Step 3: Cross multiply
    30x = 39.94 × 39.94
  4. Step 4: Simplify right side
    30x = 1,595.00
  5. Step 5: Solve for x
    x = 1,595.00/30
  6. Step 6: Final answer
    x = 53.17

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.