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Finding the Third Proportional to 677,679 and 993,885

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Solution

The third proportional to 677,679 and 993,885 is: 1,457,633.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,679 : 993,885 = 993,885 : x
  2. Step 2: Convert to fraction form
    677,679/993,885 = 993,885/x
  3. Step 3: Cross multiply
    677,679x = 993,885 × 993,885
  4. Step 4: Simplify right side
    677,679x = 987,807,393,225
  5. Step 5: Solve for x
    x = 987,807,393,225/677,679
  6. Step 6: Final answer
    x = 1,457,633.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.