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Finding the Third Proportional to 30.69 and 39.23

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Solution

The third proportional to 30.69 and 39.23 is: 50.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.69 : 39.23 = 39.23 : x
  2. Step 2: Convert to fraction form
    30.69/39.23 = 39.23/x
  3. Step 3: Cross multiply
    30.69x = 39.23 × 39.23
  4. Step 4: Simplify right side
    30.69x = 1,539.34
  5. Step 5: Solve for x
    x = 1,539.34/30.69
  6. Step 6: Final answer
    x = 50.16

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.