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Finding the Third Proportional to 405,349 and 938,285

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Solution

The third proportional to 405,349 and 938,285 is: 2,171,903.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,349 : 938,285 = 938,285 : x
  2. Step 2: Convert to fraction form
    405,349/938,285 = 938,285/x
  3. Step 3: Cross multiply
    405,349x = 938,285 × 938,285
  4. Step 4: Simplify right side
    405,349x = 880,378,741,225
  5. Step 5: Solve for x
    x = 880,378,741,225/405,349
  6. Step 6: Final answer
    x = 2,171,903.08

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.