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Finding the Third Proportional to 54,910 and 112,408

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Solution

The third proportional to 54,910 and 112,408 is: 230,113.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,910 : 112,408 = 112,408 : x
  2. Step 2: Convert to fraction form
    54,910/112,408 = 112,408/x
  3. Step 3: Cross multiply
    54,910x = 112,408 × 112,408
  4. Step 4: Simplify right side
    54,910x = 12,635,558,464
  5. Step 5: Solve for x
    x = 12,635,558,464/54,910
  6. Step 6: Final answer
    x = 230,113.98

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.