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Finding the Third Proportional to 258,009.75 and 582,908.75

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Solution

The third proportional to 258,009.75 and 582,908.75 is: 1,316,937.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,009.75 : 582,908.75 = 582,908.75 : x
  2. Step 2: Convert to fraction form
    258,009.75/582,908.75 = 582,908.75/x
  3. Step 3: Cross multiply
    258,009.75x = 582,908.75 × 582,908.75
  4. Step 4: Simplify right side
    258,009.75x = 339,782,610,826.56
  5. Step 5: Solve for x
    x = 339,782,610,826.56/258,009.75
  6. Step 6: Final answer
    x = 1,316,937.10

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.