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Finding the Third Proportional to 187.10 and 394.51

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Solution

The third proportional to 187.10 and 394.51 is: 831.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.10 : 394.51 = 394.51 : x
  2. Step 2: Convert to fraction form
    187.10/394.51 = 394.51/x
  3. Step 3: Cross multiply
    187.10x = 394.51 × 394.51
  4. Step 4: Simplify right side
    187.10x = 155,634.87
  5. Step 5: Solve for x
    x = 155,634.87/187.10
  6. Step 6: Final answer
    x = 831.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.