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Finding the Third Proportional to 187.95 and 420.19

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Solution

The third proportional to 187.95 and 420.19 is: 939.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.95 : 420.19 = 420.19 : x
  2. Step 2: Convert to fraction form
    187.95/420.19 = 420.19/x
  3. Step 3: Cross multiply
    187.95x = 420.19 × 420.19
  4. Step 4: Simplify right side
    187.95x = 176,557.54
  5. Step 5: Solve for x
    x = 176,557.54/187.95
  6. Step 6: Final answer
    x = 939.41

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.