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Finding the Third Proportional to 3,166,848 and 4,777,344

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Solution

The third proportional to 3,166,848 and 4,777,344 is: 7,206,855.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166,848 : 4,777,344 = 4,777,344 : x
  2. Step 2: Convert to fraction form
    3,166,848/4,777,344 = 4,777,344/x
  3. Step 3: Cross multiply
    3,166,848x = 4,777,344 × 4,777,344
  4. Step 4: Simplify right side
    3,166,848x = 22,823,015,694,336
  5. Step 5: Solve for x
    x = 22,823,015,694,336/3,166,848
  6. Step 6: Final answer
    x = 7,206,855.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.