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Finding the Third Proportional to 678,108 and 929,823

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Solution

The third proportional to 678,108 and 929,823 is: 1,274,975.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,108 : 929,823 = 929,823 : x
  2. Step 2: Convert to fraction form
    678,108/929,823 = 929,823/x
  3. Step 3: Cross multiply
    678,108x = 929,823 × 929,823
  4. Step 4: Simplify right side
    678,108x = 864,570,811,329
  5. Step 5: Solve for x
    x = 864,570,811,329/678,108
  6. Step 6: Final answer
    x = 1,274,975.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.