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Finding the Third Proportional to 418,138 and 919,512

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Solution

The third proportional to 418,138 and 919,512 is: 2,022,065.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,138 : 919,512 = 919,512 : x
  2. Step 2: Convert to fraction form
    418,138/919,512 = 919,512/x
  3. Step 3: Cross multiply
    418,138x = 919,512 × 919,512
  4. Step 4: Simplify right side
    418,138x = 845,502,318,144
  5. Step 5: Solve for x
    x = 845,502,318,144/418,138
  6. Step 6: Final answer
    x = 2,022,065.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.