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Finding the Third Proportional to 187.38 and 431.94

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Solution

The third proportional to 187.38 and 431.94 is: 995.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.38 : 431.94 = 431.94 : x
  2. Step 2: Convert to fraction form
    187.38/431.94 = 431.94/x
  3. Step 3: Cross multiply
    187.38x = 431.94 × 431.94
  4. Step 4: Simplify right side
    187.38x = 186,570.00
  5. Step 5: Solve for x
    x = 186,570.00/187.38
  6. Step 6: Final answer
    x = 995.70

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.