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Finding the Third Proportional to 199.88 and 319.03

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Solution

The third proportional to 199.88 and 319.03 is: 509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.88 : 319.03 = 319.03 : x
  2. Step 2: Convert to fraction form
    199.88/319.03 = 319.03/x
  3. Step 3: Cross multiply
    199.88x = 319.03 × 319.03
  4. Step 4: Simplify right side
    199.88x = 101,780.94
  5. Step 5: Solve for x
    x = 101,780.94/199.88
  6. Step 6: Final answer
    x = 509.22

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.