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Finding the Third Proportional to 376,861.50 and 511,749

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Solution

The third proportional to 376,861.50 and 511,749 is: 694,915.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,861.50 : 511,749 = 511,749 : x
  2. Step 2: Convert to fraction form
    376,861.50/511,749 = 511,749/x
  3. Step 3: Cross multiply
    376,861.50x = 511,749 × 511,749
  4. Step 4: Simplify right side
    376,861.50x = 261,887,039,001
  5. Step 5: Solve for x
    x = 261,887,039,001/376,861.50
  6. Step 6: Final answer
    x = 694,915.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.