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Finding the Third Proportional to 200.60 and 318.30

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Solution

The third proportional to 200.60 and 318.30 is: 505.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.60 : 318.30 = 318.30 : x
  2. Step 2: Convert to fraction form
    200.60/318.30 = 318.30/x
  3. Step 3: Cross multiply
    200.60x = 318.30 × 318.30
  4. Step 4: Simplify right side
    200.60x = 101,317.87
  5. Step 5: Solve for x
    x = 101,317.87/200.60
  6. Step 6: Final answer
    x = 505.07

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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.