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Finding the Third Proportional to 427,000 and 919,976

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Solution

The third proportional to 427,000 and 919,976 is: 1,982,097.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,000 : 919,976 = 919,976 : x
  2. Step 2: Convert to fraction form
    427,000/919,976 = 919,976/x
  3. Step 3: Cross multiply
    427,000x = 919,976 × 919,976
  4. Step 4: Simplify right side
    427,000x = 846,355,840,576
  5. Step 5: Solve for x
    x = 846,355,840,576/427,000
  6. Step 6: Final answer
    x = 1,982,097.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.