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Finding the Third Proportional to 409,326 and 890,208

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Solution

The third proportional to 409,326 and 890,208 is: 1,936,037.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,326 : 890,208 = 890,208 : x
  2. Step 2: Convert to fraction form
    409,326/890,208 = 890,208/x
  3. Step 3: Cross multiply
    409,326x = 890,208 × 890,208
  4. Step 4: Simplify right side
    409,326x = 792,470,283,264
  5. Step 5: Solve for x
    x = 792,470,283,264/409,326
  6. Step 6: Final answer
    x = 1,936,037.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.