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Finding the Third Proportional to 369,940 and 806,828

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Solution

The third proportional to 369,940 and 806,828 is: 1,759,667.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,940 : 806,828 = 806,828 : x
  2. Step 2: Convert to fraction form
    369,940/806,828 = 806,828/x
  3. Step 3: Cross multiply
    369,940x = 806,828 × 806,828
  4. Step 4: Simplify right side
    369,940x = 650,971,421,584
  5. Step 5: Solve for x
    x = 650,971,421,584/369,940
  6. Step 6: Final answer
    x = 1,759,667.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.