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Finding the Third Proportional to 383,405 and 806,473

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Solution

The third proportional to 383,405 and 806,473 is: 1,696,375.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,405 : 806,473 = 806,473 : x
  2. Step 2: Convert to fraction form
    383,405/806,473 = 806,473/x
  3. Step 3: Cross multiply
    383,405x = 806,473 × 806,473
  4. Step 4: Simplify right side
    383,405x = 650,398,699,729
  5. Step 5: Solve for x
    x = 650,398,699,729/383,405
  6. Step 6: Final answer
    x = 1,696,375.11

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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.