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Finding the Third Proportional to 258,188 and 426,673

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Solution

The third proportional to 258,188 and 426,673 is: 705,105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,188 : 426,673 = 426,673 : x
  2. Step 2: Convert to fraction form
    258,188/426,673 = 426,673/x
  3. Step 3: Cross multiply
    258,188x = 426,673 × 426,673
  4. Step 4: Simplify right side
    258,188x = 182,049,848,929
  5. Step 5: Solve for x
    x = 182,049,848,929/258,188
  6. Step 6: Final answer
    x = 705,105.77

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.