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Finding the Third Proportional to 353,964 and 770,136

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Solution

The third proportional to 353,964 and 770,136 is: 1,675,620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,964 : 770,136 = 770,136 : x
  2. Step 2: Convert to fraction form
    353,964/770,136 = 770,136/x
  3. Step 3: Cross multiply
    353,964x = 770,136 × 770,136
  4. Step 4: Simplify right side
    353,964x = 593,109,458,496
  5. Step 5: Solve for x
    x = 593,109,458,496/353,964
  6. Step 6: Final answer
    x = 1,675,620.85

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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.