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Finding the Third Proportional to 187.03 and 279.40

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Solution

The third proportional to 187.03 and 279.40 is: 417.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.03 : 279.40 = 279.40 : x
  2. Step 2: Convert to fraction form
    187.03/279.40 = 279.40/x
  3. Step 3: Cross multiply
    187.03x = 279.40 × 279.40
  4. Step 4: Simplify right side
    187.03x = 78,063.49
  5. Step 5: Solve for x
    x = 78,063.49/187.03
  6. Step 6: Final answer
    x = 417.38

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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.