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Finding the Third Proportional to 350,318 and 770,620

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Solution

The third proportional to 350,318 and 770,620 is: 1,695,188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,318 : 770,620 = 770,620 : x
  2. Step 2: Convert to fraction form
    350,318/770,620 = 770,620/x
  3. Step 3: Cross multiply
    350,318x = 770,620 × 770,620
  4. Step 4: Simplify right side
    350,318x = 593,855,184,400
  5. Step 5: Solve for x
    x = 593,855,184,400/350,318
  6. Step 6: Final answer
    x = 1,695,188.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.