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Finding the Third Proportional to 383,399 and 806,461

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Solution

The third proportional to 383,399 and 806,461 is: 1,696,351.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,399 : 806,461 = 806,461 : x
  2. Step 2: Convert to fraction form
    383,399/806,461 = 806,461/x
  3. Step 3: Cross multiply
    383,399x = 806,461 × 806,461
  4. Step 4: Simplify right side
    383,399x = 650,379,344,521
  5. Step 5: Solve for x
    x = 650,379,344,521/383,399
  6. Step 6: Final answer
    x = 1,696,351.18

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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.