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Finding the Third Proportional to 30.80 and 67.01

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Solution

The third proportional to 30.80 and 67.01 is: 145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.80 : 67.01 = 67.01 : x
  2. Step 2: Convert to fraction form
    30.80/67.01 = 67.01/x
  3. Step 3: Cross multiply
    30.80x = 67.01 × 67.01
  4. Step 4: Simplify right side
    30.80x = 4,490.05
  5. Step 5: Solve for x
    x = 4,490.05/30.80
  6. Step 6: Final answer
    x = 145.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.