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Finding the Third Proportional to 427,603 and 923,003

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Solution

The third proportional to 427,603 and 923,003 is: 1,992,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,603 : 923,003 = 923,003 : x
  2. Step 2: Convert to fraction form
    427,603/923,003 = 923,003/x
  3. Step 3: Cross multiply
    427,603x = 923,003 × 923,003
  4. Step 4: Simplify right side
    427,603x = 851,934,538,009
  5. Step 5: Solve for x
    x = 851,934,538,009/427,603
  6. Step 6: Final answer
    x = 1,992,349.30

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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.