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Finding the Third Proportional to 426,784 and 919,728

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Solution

The third proportional to 426,784 and 919,728 is: 1,982,032.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,784 : 919,728 = 919,728 : x
  2. Step 2: Convert to fraction form
    426,784/919,728 = 919,728/x
  3. Step 3: Cross multiply
    426,784x = 919,728 × 919,728
  4. Step 4: Simplify right side
    426,784x = 845,899,593,984
  5. Step 5: Solve for x
    x = 845,899,593,984/426,784
  6. Step 6: Final answer
    x = 1,982,032.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.