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Finding the Third Proportional to 383,225 and 806,138

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Solution

The third proportional to 383,225 and 806,138 is: 1,695,762.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,225 : 806,138 = 806,138 : x
  2. Step 2: Convert to fraction form
    383,225/806,138 = 806,138/x
  3. Step 3: Cross multiply
    383,225x = 806,138 × 806,138
  4. Step 4: Simplify right side
    383,225x = 649,858,475,044
  5. Step 5: Solve for x
    x = 649,858,475,044/383,225
  6. Step 6: Final answer
    x = 1,695,762.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.