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Finding the Third Proportional to 511,100 and 787,976

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Solution

The third proportional to 511,100 and 787,976 is: 1,214,842.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,100 : 787,976 = 787,976 : x
  2. Step 2: Convert to fraction form
    511,100/787,976 = 787,976/x
  3. Step 3: Cross multiply
    511,100x = 787,976 × 787,976
  4. Step 4: Simplify right side
    511,100x = 620,906,176,576
  5. Step 5: Solve for x
    x = 620,906,176,576/511,100
  6. Step 6: Final answer
    x = 1,214,842.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.