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Finding the Third Proportional to 421,892 and 923,918

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Solution

The third proportional to 421,892 and 923,918 is: 2,023,324.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,892 : 923,918 = 923,918 : x
  2. Step 2: Convert to fraction form
    421,892/923,918 = 923,918/x
  3. Step 3: Cross multiply
    421,892x = 923,918 × 923,918
  4. Step 4: Simplify right side
    421,892x = 853,624,470,724
  5. Step 5: Solve for x
    x = 853,624,470,724/421,892
  6. Step 6: Final answer
    x = 2,023,324.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.