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Finding the Third Proportional to 395,448 and 612,831

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Solution

The third proportional to 395,448 and 612,831 is: 949,712.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,448 : 612,831 = 612,831 : x
  2. Step 2: Convert to fraction form
    395,448/612,831 = 612,831/x
  3. Step 3: Cross multiply
    395,448x = 612,831 × 612,831
  4. Step 4: Simplify right side
    395,448x = 375,561,834,561
  5. Step 5: Solve for x
    x = 375,561,834,561/395,448
  6. Step 6: Final answer
    x = 949,712.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.