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Finding the Third Proportional to 511,491 and 774,345

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Solution

The third proportional to 511,491 and 774,345 is: 1,172,279.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,491 : 774,345 = 774,345 : x
  2. Step 2: Convert to fraction form
    511,491/774,345 = 774,345/x
  3. Step 3: Cross multiply
    511,491x = 774,345 × 774,345
  4. Step 4: Simplify right side
    511,491x = 599,610,179,025
  5. Step 5: Solve for x
    x = 599,610,179,025/511,491
  6. Step 6: Final answer
    x = 1,172,279.04

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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.