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Finding the Third Proportional to 202.75 and 423.88

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Solution

The third proportional to 202.75 and 423.88 is: 886.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.75 : 423.88 = 423.88 : x
  2. Step 2: Convert to fraction form
    202.75/423.88 = 423.88/x
  3. Step 3: Cross multiply
    202.75x = 423.88 × 423.88
  4. Step 4: Simplify right side
    202.75x = 179,670.02
  5. Step 5: Solve for x
    x = 179,670.02/202.75
  6. Step 6: Final answer
    x = 886.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.