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Finding the Third Proportional to 512,311.50 and 764,307

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Solution

The third proportional to 512,311.50 and 764,307 is: 1,140,253.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,311.50 : 764,307 = 764,307 : x
  2. Step 2: Convert to fraction form
    512,311.50/764,307 = 764,307/x
  3. Step 3: Cross multiply
    512,311.50x = 764,307 × 764,307
  4. Step 4: Simplify right side
    512,311.50x = 584,165,190,249
  5. Step 5: Solve for x
    x = 584,165,190,249/512,311.50
  6. Step 6: Final answer
    x = 1,140,253.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.