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Finding the Third Proportional to 355,831 and 781,646

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Solution

The third proportional to 355,831 and 781,646 is: 1,717,024.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,831 : 781,646 = 781,646 : x
  2. Step 2: Convert to fraction form
    355,831/781,646 = 781,646/x
  3. Step 3: Cross multiply
    355,831x = 781,646 × 781,646
  4. Step 4: Simplify right side
    355,831x = 610,970,469,316
  5. Step 5: Solve for x
    x = 610,970,469,316/355,831
  6. Step 6: Final answer
    x = 1,717,024.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.