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Finding the Third Proportional to 208.99 and 319.05

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Solution

The third proportional to 208.99 and 319.05 is: 487.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.99 : 319.05 = 319.05 : x
  2. Step 2: Convert to fraction form
    208.99/319.05 = 319.05/x
  3. Step 3: Cross multiply
    208.99x = 319.05 × 319.05
  4. Step 4: Simplify right side
    208.99x = 101,795.89
  5. Step 5: Solve for x
    x = 101,795.89/208.99
  6. Step 6: Final answer
    x = 487.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.