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Finding the Third Proportional to 132,874 and 287,891

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Solution

The third proportional to 132,874 and 287,891 is: 623,758.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,874 : 287,891 = 287,891 : x
  2. Step 2: Convert to fraction form
    132,874/287,891 = 287,891/x
  3. Step 3: Cross multiply
    132,874x = 287,891 × 287,891
  4. Step 4: Simplify right side
    132,874x = 82,881,227,881
  5. Step 5: Solve for x
    x = 82,881,227,881/132,874
  6. Step 6: Final answer
    x = 623,758.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.