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Finding the Third Proportional to 202.31 and 395.06

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Solution

The third proportional to 202.31 and 395.06 is: 771.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.31 : 395.06 = 395.06 : x
  2. Step 2: Convert to fraction form
    202.31/395.06 = 395.06/x
  3. Step 3: Cross multiply
    202.31x = 395.06 × 395.06
  4. Step 4: Simplify right side
    202.31x = 156,074.38
  5. Step 5: Solve for x
    x = 156,074.38/202.31
  6. Step 6: Final answer
    x = 771.45

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.