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Finding the Third Proportional to 343,947.50 and 521,115

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Solution

The third proportional to 343,947.50 and 521,115 is: 789,541.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,947.50 : 521,115 = 521,115 : x
  2. Step 2: Convert to fraction form
    343,947.50/521,115 = 521,115/x
  3. Step 3: Cross multiply
    343,947.50x = 521,115 × 521,115
  4. Step 4: Simplify right side
    343,947.50x = 271,560,843,225
  5. Step 5: Solve for x
    x = 271,560,843,225/343,947.50
  6. Step 6: Final answer
    x = 789,541.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.