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Finding the Third Proportional to 30.50 and 65.50

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Solution

The third proportional to 30.50 and 65.50 is: 140.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.50 : 65.50 = 65.50 : x
  2. Step 2: Convert to fraction form
    30.50/65.50 = 65.50/x
  3. Step 3: Cross multiply
    30.50x = 65.50 × 65.50
  4. Step 4: Simplify right side
    30.50x = 4,290.25
  5. Step 5: Solve for x
    x = 4,290.25/30.50
  6. Step 6: Final answer
    x = 140.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.