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Finding the Third Proportional to 288,009 and 639,945

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Solution

The third proportional to 288,009 and 639,945 is: 1,421,933.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,009 : 639,945 = 639,945 : x
  2. Step 2: Convert to fraction form
    288,009/639,945 = 639,945/x
  3. Step 3: Cross multiply
    288,009x = 639,945 × 639,945
  4. Step 4: Simplify right side
    288,009x = 409,529,603,025
  5. Step 5: Solve for x
    x = 409,529,603,025/288,009
  6. Step 6: Final answer
    x = 1,421,933.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.