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Finding the Third Proportional to 202.38 and 312.94

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Solution

The third proportional to 202.38 and 312.94 is: 483.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.38 : 312.94 = 312.94 : x
  2. Step 2: Convert to fraction form
    202.38/312.94 = 312.94/x
  3. Step 3: Cross multiply
    202.38x = 312.94 × 312.94
  4. Step 4: Simplify right side
    202.38x = 97,929.88
  5. Step 5: Solve for x
    x = 97,929.88/202.38
  6. Step 6: Final answer
    x = 483.90

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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.