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Finding the Third Proportional to 131,511 and 287,631

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Solution

The third proportional to 131,511 and 287,631 is: 629,084.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,511 : 287,631 = 287,631 : x
  2. Step 2: Convert to fraction form
    131,511/287,631 = 287,631/x
  3. Step 3: Cross multiply
    131,511x = 287,631 × 287,631
  4. Step 4: Simplify right side
    131,511x = 82,731,592,161
  5. Step 5: Solve for x
    x = 82,731,592,161/131,511
  6. Step 6: Final answer
    x = 629,084.96

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