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Finding the Third Proportional to 399,508 and 858,308

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Solution

The third proportional to 399,508 and 858,308 is: 1,843,999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,508 : 858,308 = 858,308 : x
  2. Step 2: Convert to fraction form
    399,508/858,308 = 858,308/x
  3. Step 3: Cross multiply
    399,508x = 858,308 × 858,308
  4. Step 4: Simplify right side
    399,508x = 736,692,622,864
  5. Step 5: Solve for x
    x = 736,692,622,864/399,508
  6. Step 6: Final answer
    x = 1,843,999.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.