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Finding the Third Proportional to 187.88 and 291.38

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Solution

The third proportional to 187.88 and 291.38 is: 451.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.88 : 291.38 = 291.38 : x
  2. Step 2: Convert to fraction form
    187.88/291.38 = 291.38/x
  3. Step 3: Cross multiply
    187.88x = 291.38 × 291.38
  4. Step 4: Simplify right side
    187.88x = 84,899.39
  5. Step 5: Solve for x
    x = 84,899.39/187.88
  6. Step 6: Final answer
    x = 451.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.