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Finding the Third Proportional to 259,599 and 557,979

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Solution

The third proportional to 259,599 and 557,979 is: 1,199,313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,599 : 557,979 = 557,979 : x
  2. Step 2: Convert to fraction form
    259,599/557,979 = 557,979/x
  3. Step 3: Cross multiply
    259,599x = 557,979 × 557,979
  4. Step 4: Simplify right side
    259,599x = 311,340,564,441
  5. Step 5: Solve for x
    x = 311,340,564,441/259,599
  6. Step 6: Final answer
    x = 1,199,313.42

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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.