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Finding the Third Proportional to 511,530 and 774,396

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Solution

The third proportional to 511,530 and 774,396 is: 1,172,344.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,530 : 774,396 = 774,396 : x
  2. Step 2: Convert to fraction form
    511,530/774,396 = 774,396/x
  3. Step 3: Cross multiply
    511,530x = 774,396 × 774,396
  4. Step 4: Simplify right side
    511,530x = 599,689,164,816
  5. Step 5: Solve for x
    x = 599,689,164,816/511,530
  6. Step 6: Final answer
    x = 1,172,344.08

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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.