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Finding the Third Proportional to 272.50 and 409.88

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Solution

The third proportional to 272.50 and 409.88 is: 616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.50 : 409.88 = 409.88 : x
  2. Step 2: Convert to fraction form
    272.50/409.88 = 409.88/x
  3. Step 3: Cross multiply
    272.50x = 409.88 × 409.88
  4. Step 4: Simplify right side
    272.50x = 167,997.52
  5. Step 5: Solve for x
    x = 167,997.52/272.50
  6. Step 6: Final answer
    x = 616.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.