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Finding the Third Proportional to 512,278.45 and 764,265.80

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Solution

The third proportional to 512,278.45 and 764,265.80 is: 1,140,204.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,278.45 : 764,265.80 = 764,265.80 : x
  2. Step 2: Convert to fraction form
    512,278.45/764,265.80 = 764,265.80/x
  3. Step 3: Cross multiply
    512,278.45x = 764,265.80 × 764,265.80
  4. Step 4: Simplify right side
    512,278.45x = 584,102,208,272.98
  5. Step 5: Solve for x
    x = 584,102,208,272.98/512,278.45
  6. Step 6: Final answer
    x = 1,140,204.52

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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.