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Finding the Third Proportional to 512,367.75 and 765,729.56

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Solution

The third proportional to 512,367.75 and 765,729.56 is: 1,144,376.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,367.75 : 765,729.56 = 765,729.56 : x
  2. Step 2: Convert to fraction form
    512,367.75/765,729.56 = 765,729.56/x
  3. Step 3: Cross multiply
    512,367.75x = 765,729.56 × 765,729.56
  4. Step 4: Simplify right side
    512,367.75x = 586,341,762,886.44
  5. Step 5: Solve for x
    x = 586,341,762,886.44/512,367.75
  6. Step 6: Final answer
    x = 1,144,376.79

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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.