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Finding the Third Proportional to 427,692 and 923,172

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Solution

The third proportional to 427,692 and 923,172 is: 1,992,664.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,692 : 923,172 = 923,172 : x
  2. Step 2: Convert to fraction form
    427,692/923,172 = 923,172/x
  3. Step 3: Cross multiply
    427,692x = 923,172 × 923,172
  4. Step 4: Simplify right side
    427,692x = 852,246,541,584
  5. Step 5: Solve for x
    x = 852,246,541,584/427,692
  6. Step 6: Final answer
    x = 1,992,664.21

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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.