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Finding the Third Proportional to 203.34 and 315.09

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Solution

The third proportional to 203.34 and 315.09 is: 488.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.34 : 315.09 = 315.09 : x
  2. Step 2: Convert to fraction form
    203.34/315.09 = 315.09/x
  3. Step 3: Cross multiply
    203.34x = 315.09 × 315.09
  4. Step 4: Simplify right side
    203.34x = 99,284.07
  5. Step 5: Solve for x
    x = 99,284.07/203.34
  6. Step 6: Final answer
    x = 488.26

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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.