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Finding the Third Proportional to 512,993.25 and 766,617.75

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Solution

The third proportional to 512,993.25 and 766,617.75 is: 1,145,634.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,993.25 : 766,617.75 = 766,617.75 : x
  2. Step 2: Convert to fraction form
    512,993.25/766,617.75 = 766,617.75/x
  3. Step 3: Cross multiply
    512,993.25x = 766,617.75 × 766,617.75
  4. Step 4: Simplify right side
    512,993.25x = 587,702,774,615.06
  5. Step 5: Solve for x
    x = 587,702,774,615.06/512,993.25
  6. Step 6: Final answer
    x = 1,145,634.52

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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.