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Finding the Third Proportional to 66,192 and 135,408

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Solution

The third proportional to 66,192 and 135,408 is: 277,002.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,192 : 135,408 = 135,408 : x
  2. Step 2: Convert to fraction form
    66,192/135,408 = 135,408/x
  3. Step 3: Cross multiply
    66,192x = 135,408 × 135,408
  4. Step 4: Simplify right side
    66,192x = 18,335,326,464
  5. Step 5: Solve for x
    x = 18,335,326,464/66,192
  6. Step 6: Final answer
    x = 277,002.15

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Why These Related Problems?

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