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Finding the Third Proportional to 258,163.31 and 559,216.13

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Solution

The third proportional to 258,163.31 and 559,216.13 is: 1,211,336.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,163.31 : 559,216.13 = 559,216.13 : x
  2. Step 2: Convert to fraction form
    258,163.31/559,216.13 = 559,216.13/x
  3. Step 3: Cross multiply
    258,163.31x = 559,216.13 × 559,216.13
  4. Step 4: Simplify right side
    258,163.31x = 312,722,674,460.02
  5. Step 5: Solve for x
    x = 312,722,674,460.02/258,163.31
  6. Step 6: Final answer
    x = 1,211,336.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.