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Finding the Third Proportional to 65 and 112.50

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Solution

The third proportional to 65 and 112.50 is: 194.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65 : 112.50 = 112.50 : x
  2. Step 2: Convert to fraction form
    65/112.50 = 112.50/x
  3. Step 3: Cross multiply
    65x = 112.50 × 112.50
  4. Step 4: Simplify right side
    65x = 12,656.25
  5. Step 5: Solve for x
    x = 12,656.25/65
  6. Step 6: Final answer
    x = 194.71

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.