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Finding the Third Proportional to 258,192.56 and 559,279.69

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Solution

The third proportional to 258,192.56 and 559,279.69 is: 1,211,474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,192.56 : 559,279.69 = 559,279.69 : x
  2. Step 2: Convert to fraction form
    258,192.56/559,279.69 = 559,279.69/x
  3. Step 3: Cross multiply
    258,192.56x = 559,279.69 × 559,279.69
  4. Step 4: Simplify right side
    258,192.56x = 312,793,768,850.10
  5. Step 5: Solve for x
    x = 312,793,768,850.10/258,192.56
  6. Step 6: Final answer
    x = 1,211,474.75

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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.