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Finding the Third Proportional to 187.59 and 279.44

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Solution

The third proportional to 187.59 and 279.44 is: 416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.59 : 279.44 = 279.44 : x
  2. Step 2: Convert to fraction form
    187.59/279.44 = 279.44/x
  3. Step 3: Cross multiply
    187.59x = 279.44 × 279.44
  4. Step 4: Simplify right side
    187.59x = 78,085.32
  5. Step 5: Solve for x
    x = 78,085.32/187.59
  6. Step 6: Final answer
    x = 416.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.