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Finding the Third Proportional to 198.39 and 430.00

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Solution

The third proportional to 198.39 and 430.00 is: 932.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.39 : 430.00 = 430.00 : x
  2. Step 2: Convert to fraction form
    198.39/430.00 = 430.00/x
  3. Step 3: Cross multiply
    198.39x = 430.00 × 430.00
  4. Step 4: Simplify right side
    198.39x = 184,896.64
  5. Step 5: Solve for x
    x = 184,896.64/198.39
  6. Step 6: Final answer
    x = 932.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.