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Finding the Third Proportional to 30 and 60.75

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Solution

The third proportional to 30 and 60.75 is: 123.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30 : 60.75 = 60.75 : x
  2. Step 2: Convert to fraction form
    30/60.75 = 60.75/x
  3. Step 3: Cross multiply
    30x = 60.75 × 60.75
  4. Step 4: Simplify right side
    30x = 3,690.56
  5. Step 5: Solve for x
    x = 3,690.56/30
  6. Step 6: Final answer
    x = 123.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.