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Finding the Third Proportional to 132,876 and 286,622

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Solution

The third proportional to 132,876 and 286,622 is: 618,261.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,876 : 286,622 = 286,622 : x
  2. Step 2: Convert to fraction form
    132,876/286,622 = 286,622/x
  3. Step 3: Cross multiply
    132,876x = 286,622 × 286,622
  4. Step 4: Simplify right side
    132,876x = 82,152,170,884
  5. Step 5: Solve for x
    x = 82,152,170,884/132,876
  6. Step 6: Final answer
    x = 618,261.92

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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.