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Finding the Third Proportional to 353,940 and 770,087

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Solution

The third proportional to 353,940 and 770,087 is: 1,675,521.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,940 : 770,087 = 770,087 : x
  2. Step 2: Convert to fraction form
    353,940/770,087 = 770,087/x
  3. Step 3: Cross multiply
    353,940x = 770,087 × 770,087
  4. Step 4: Simplify right side
    353,940x = 593,033,987,569
  5. Step 5: Solve for x
    x = 593,033,987,569/353,940
  6. Step 6: Final answer
    x = 1,675,521.24

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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.