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Finding the Third Proportional to 30.63 and 65

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Solution

The third proportional to 30.63 and 65 is: 137.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.63 : 65 = 65 : x
  2. Step 2: Convert to fraction form
    30.63/65 = 65/x
  3. Step 3: Cross multiply
    30.63x = 65 × 65
  4. Step 4: Simplify right side
    30.63x = 4,225
  5. Step 5: Solve for x
    x = 4,225/30.63
  6. Step 6: Final answer
    x = 137.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.