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Finding the Third Proportional to 399,592 and 850,040

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Solution

The third proportional to 399,592 and 850,040 is: 1,808,264.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,592 : 850,040 = 850,040 : x
  2. Step 2: Convert to fraction form
    399,592/850,040 = 850,040/x
  3. Step 3: Cross multiply
    399,592x = 850,040 × 850,040
  4. Step 4: Simplify right side
    399,592x = 722,568,001,600
  5. Step 5: Solve for x
    x = 722,568,001,600/399,592
  6. Step 6: Final answer
    x = 1,808,264.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.