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Finding the Third Proportional to 202.75 and 321.69

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Solution

The third proportional to 202.75 and 321.69 is: 510.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.75 : 321.69 = 321.69 : x
  2. Step 2: Convert to fraction form
    202.75/321.69 = 321.69/x
  3. Step 3: Cross multiply
    202.75x = 321.69 × 321.69
  4. Step 4: Simplify right side
    202.75x = 103,482.85
  5. Step 5: Solve for x
    x = 103,482.85/202.75
  6. Step 6: Final answer
    x = 510.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.