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Finding the Third Proportional to 123,578 and 288,027

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Solution

The third proportional to 123,578 and 288,027 is: 671,313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,578 : 288,027 = 288,027 : x
  2. Step 2: Convert to fraction form
    123,578/288,027 = 288,027/x
  3. Step 3: Cross multiply
    123,578x = 288,027 × 288,027
  4. Step 4: Simplify right side
    123,578x = 82,959,552,729
  5. Step 5: Solve for x
    x = 82,959,552,729/123,578
  6. Step 6: Final answer
    x = 671,313.28

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.