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Finding the Third Proportional to 202.18 and 319.56

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Solution

The third proportional to 202.18 and 319.56 is: 505.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.18 : 319.56 = 319.56 : x
  2. Step 2: Convert to fraction form
    202.18/319.56 = 319.56/x
  3. Step 3: Cross multiply
    202.18x = 319.56 × 319.56
  4. Step 4: Simplify right side
    202.18x = 102,118.87
  5. Step 5: Solve for x
    x = 102,118.87/202.18
  6. Step 6: Final answer
    x = 505.08

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.