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Finding the Third Proportional to 512,568 and 788,913

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Solution

The third proportional to 512,568 and 788,913 is: 1,214,246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,568 : 788,913 = 788,913 : x
  2. Step 2: Convert to fraction form
    512,568/788,913 = 788,913/x
  3. Step 3: Cross multiply
    512,568x = 788,913 × 788,913
  4. Step 4: Simplify right side
    512,568x = 622,383,721,569
  5. Step 5: Solve for x
    x = 622,383,721,569/512,568
  6. Step 6: Final answer
    x = 1,214,246.15

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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.