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Finding the Third Proportional to 132,267 and 285,442

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Solution

The third proportional to 132,267 and 285,442 is: 616,005.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,267 : 285,442 = 285,442 : x
  2. Step 2: Convert to fraction form
    132,267/285,442 = 285,442/x
  3. Step 3: Cross multiply
    132,267x = 285,442 × 285,442
  4. Step 4: Simplify right side
    132,267x = 81,477,135,364
  5. Step 5: Solve for x
    x = 81,477,135,364/132,267
  6. Step 6: Final answer
    x = 616,005.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.