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Finding the Third Proportional to 373,419 and 809,847

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Solution

The third proportional to 373,419 and 809,847 is: 1,756,343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,419 : 809,847 = 809,847 : x
  2. Step 2: Convert to fraction form
    373,419/809,847 = 809,847/x
  3. Step 3: Cross multiply
    373,419x = 809,847 × 809,847
  4. Step 4: Simplify right side
    373,419x = 655,852,163,409
  5. Step 5: Solve for x
    x = 655,852,163,409/373,419
  6. Step 6: Final answer
    x = 1,756,343.85

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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.