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Finding the Third Proportional to 420,444 and 919,134

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Solution

The third proportional to 420,444 and 919,134 is: 2,009,321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,444 : 919,134 = 919,134 : x
  2. Step 2: Convert to fraction form
    420,444/919,134 = 919,134/x
  3. Step 3: Cross multiply
    420,444x = 919,134 × 919,134
  4. Step 4: Simplify right side
    420,444x = 844,807,309,956
  5. Step 5: Solve for x
    x = 844,807,309,956/420,444
  6. Step 6: Final answer
    x = 2,009,321.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.