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Finding the Third Proportional to 3,194,433 and 6,927,846

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Solution

The third proportional to 3,194,433 and 6,927,846 is: 15,024,591.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194,433 : 6,927,846 = 6,927,846 : x
  2. Step 2: Convert to fraction form
    3,194,433/6,927,846 = 6,927,846/x
  3. Step 3: Cross multiply
    3,194,433x = 6,927,846 × 6,927,846
  4. Step 4: Simplify right side
    3,194,433x = 47,995,050,199,716
  5. Step 5: Solve for x
    x = 47,995,050,199,716/3,194,433
  6. Step 6: Final answer
    x = 15,024,591.28

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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.