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Finding the Third Proportional to 372,406 and 809,612

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Solution

The third proportional to 372,406 and 809,612 is: 1,760,099.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,406 : 809,612 = 809,612 : x
  2. Step 2: Convert to fraction form
    372,406/809,612 = 809,612/x
  3. Step 3: Cross multiply
    372,406x = 809,612 × 809,612
  4. Step 4: Simplify right side
    372,406x = 655,471,590,544
  5. Step 5: Solve for x
    x = 655,471,590,544/372,406
  6. Step 6: Final answer
    x = 1,760,099.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.