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Finding the Third Proportional to 132,960 and 285,408

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Solution

The third proportional to 132,960 and 285,408 is: 612,648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,960 : 285,408 = 285,408 : x
  2. Step 2: Convert to fraction form
    132,960/285,408 = 285,408/x
  3. Step 3: Cross multiply
    132,960x = 285,408 × 285,408
  4. Step 4: Simplify right side
    132,960x = 81,457,726,464
  5. Step 5: Solve for x
    x = 81,457,726,464/132,960
  6. Step 6: Final answer
    x = 612,648.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.