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Finding the Third Proportional to 677,990 and 920,794

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Solution

The third proportional to 677,990 and 920,794 is: 1,250,551.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,990 : 920,794 = 920,794 : x
  2. Step 2: Convert to fraction form
    677,990/920,794 = 920,794/x
  3. Step 3: Cross multiply
    677,990x = 920,794 × 920,794
  4. Step 4: Simplify right side
    677,990x = 847,861,590,436
  5. Step 5: Solve for x
    x = 847,861,590,436/677,990
  6. Step 6: Final answer
    x = 1,250,551.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.