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Finding the Third Proportional to 30.75 and 73.50

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Solution

The third proportional to 30.75 and 73.50 is: 175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.75 : 73.50 = 73.50 : x
  2. Step 2: Convert to fraction form
    30.75/73.50 = 73.50/x
  3. Step 3: Cross multiply
    30.75x = 73.50 × 73.50
  4. Step 4: Simplify right side
    30.75x = 5,402.25
  5. Step 5: Solve for x
    x = 5,402.25/30.75
  6. Step 6: Final answer
    x = 175.68

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.