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Finding the Third Proportional to 512,251 and 751,768

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Solution

The third proportional to 512,251 and 751,768 is: 1,103,277.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,251 : 751,768 = 751,768 : x
  2. Step 2: Convert to fraction form
    512,251/751,768 = 751,768/x
  3. Step 3: Cross multiply
    512,251x = 751,768 × 751,768
  4. Step 4: Simplify right side
    512,251x = 565,155,125,824
  5. Step 5: Solve for x
    x = 565,155,125,824/512,251
  6. Step 6: Final answer
    x = 1,103,277.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.