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Finding the Third Proportional to 46.25 and 82.50

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Solution

The third proportional to 46.25 and 82.50 is: 147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.25 : 82.50 = 82.50 : x
  2. Step 2: Convert to fraction form
    46.25/82.50 = 82.50/x
  3. Step 3: Cross multiply
    46.25x = 82.50 × 82.50
  4. Step 4: Simplify right side
    46.25x = 6,806.25
  5. Step 5: Solve for x
    x = 6,806.25/46.25
  6. Step 6: Final answer
    x = 147.16

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.