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Finding the Third Proportional to 131,514 and 287,637

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Solution

The third proportional to 131,514 and 287,637 is: 629,096.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,514 : 287,637 = 287,637 : x
  2. Step 2: Convert to fraction form
    131,514/287,637 = 287,637/x
  3. Step 3: Cross multiply
    131,514x = 287,637 × 287,637
  4. Step 4: Simplify right side
    131,514x = 82,735,043,769
  5. Step 5: Solve for x
    x = 82,735,043,769/131,514
  6. Step 6: Final answer
    x = 629,096.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.