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Finding the Third Proportional to 135,418.50 and 287,481

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Solution

The third proportional to 135,418.50 and 287,481 is: 610,295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,418.50 : 287,481 = 287,481 : x
  2. Step 2: Convert to fraction form
    135,418.50/287,481 = 287,481/x
  3. Step 3: Cross multiply
    135,418.50x = 287,481 × 287,481
  4. Step 4: Simplify right side
    135,418.50x = 82,645,325,361
  5. Step 5: Solve for x
    x = 82,645,325,361/135,418.50
  6. Step 6: Final answer
    x = 610,295.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.