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Finding the Third Proportional to 124,498 and 287,917

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Solution

The third proportional to 124,498 and 287,917 is: 665,843.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,498 : 287,917 = 287,917 : x
  2. Step 2: Convert to fraction form
    124,498/287,917 = 287,917/x
  3. Step 3: Cross multiply
    124,498x = 287,917 × 287,917
  4. Step 4: Simplify right side
    124,498x = 82,896,198,889
  5. Step 5: Solve for x
    x = 82,896,198,889/124,498
  6. Step 6: Final answer
    x = 665,843.62

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.