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Finding the Third Proportional to 395,441 and 612,823

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Solution

The third proportional to 395,441 and 612,823 is: 949,704.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,441 : 612,823 = 612,823 : x
  2. Step 2: Convert to fraction form
    395,441/612,823 = 612,823/x
  3. Step 3: Cross multiply
    395,441x = 612,823 × 612,823
  4. Step 4: Simplify right side
    395,441x = 375,552,029,329
  5. Step 5: Solve for x
    x = 375,552,029,329/395,441
  6. Step 6: Final answer
    x = 949,704.33

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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.