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Finding the Third Proportional to 207.50 and 321.34

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Solution

The third proportional to 207.50 and 321.34 is: 497.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.50 : 321.34 = 321.34 : x
  2. Step 2: Convert to fraction form
    207.50/321.34 = 321.34/x
  3. Step 3: Cross multiply
    207.50x = 321.34 × 321.34
  4. Step 4: Simplify right side
    207.50x = 103,261.81
  5. Step 5: Solve for x
    x = 103,261.81/207.50
  6. Step 6: Final answer
    x = 497.65

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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.