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Finding the Third Proportional to 202.97 and 314.11

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Solution

The third proportional to 202.97 and 314.11 is: 486.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.97 : 314.11 = 314.11 : x
  2. Step 2: Convert to fraction form
    202.97/314.11 = 314.11/x
  3. Step 3: Cross multiply
    202.97x = 314.11 × 314.11
  4. Step 4: Simplify right side
    202.97x = 98,664.70
  5. Step 5: Solve for x
    x = 98,664.70/202.97
  6. Step 6: Final answer
    x = 486.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.