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Finding the Third Proportional to 355,584 and 770,190

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Solution

The third proportional to 355,584 and 770,190 is: 1,668,220.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,584 : 770,190 = 770,190 : x
  2. Step 2: Convert to fraction form
    355,584/770,190 = 770,190/x
  3. Step 3: Cross multiply
    355,584x = 770,190 × 770,190
  4. Step 4: Simplify right side
    355,584x = 593,192,636,100
  5. Step 5: Solve for x
    x = 593,192,636,100/355,584
  6. Step 6: Final answer
    x = 1,668,220.83

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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.