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Finding the Third Proportional to 215 and 246.50

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Solution

The third proportional to 215 and 246.50 is: 282.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    215 : 246.50 = 246.50 : x
  2. Step 2: Convert to fraction form
    215/246.50 = 246.50/x
  3. Step 3: Cross multiply
    215x = 246.50 × 246.50
  4. Step 4: Simplify right side
    215x = 60,762.25
  5. Step 5: Solve for x
    x = 60,762.25/215
  6. Step 6: Final answer
    x = 282.62

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.