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Finding the Third Proportional to 511,500 and 774,357

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Solution

The third proportional to 511,500 and 774,357 is: 1,172,294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,500 : 774,357 = 774,357 : x
  2. Step 2: Convert to fraction form
    511,500/774,357 = 774,357/x
  3. Step 3: Cross multiply
    511,500x = 774,357 × 774,357
  4. Step 4: Simplify right side
    511,500x = 599,628,763,449
  5. Step 5: Solve for x
    x = 599,628,763,449/511,500
  6. Step 6: Final answer
    x = 1,172,294.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.