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Finding the Third Proportional to 259,116 and 557,976

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Solution

The third proportional to 259,116 and 557,976 is: 1,201,536.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,116 : 557,976 = 557,976 : x
  2. Step 2: Convert to fraction form
    259,116/557,976 = 557,976/x
  3. Step 3: Cross multiply
    259,116x = 557,976 × 557,976
  4. Step 4: Simplify right side
    259,116x = 311,337,216,576
  5. Step 5: Solve for x
    x = 311,337,216,576/259,116
  6. Step 6: Final answer
    x = 1,201,536.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.