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Finding the Third Proportional to 258,842 and 399,811

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Solution

The third proportional to 258,842 and 399,811 is: 617,553.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,842 : 399,811 = 399,811 : x
  2. Step 2: Convert to fraction form
    258,842/399,811 = 399,811/x
  3. Step 3: Cross multiply
    258,842x = 399,811 × 399,811
  4. Step 4: Simplify right side
    258,842x = 159,848,835,721
  5. Step 5: Solve for x
    x = 159,848,835,721/258,842
  6. Step 6: Final answer
    x = 617,553.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.