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Finding the Third Proportional to 351,396 and 770,508

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Solution

The third proportional to 351,396 and 770,508 is: 1,689,497.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,396 : 770,508 = 770,508 : x
  2. Step 2: Convert to fraction form
    351,396/770,508 = 770,508/x
  3. Step 3: Cross multiply
    351,396x = 770,508 × 770,508
  4. Step 4: Simplify right side
    351,396x = 593,682,578,064
  5. Step 5: Solve for x
    x = 593,682,578,064/351,396
  6. Step 6: Final answer
    x = 1,689,497.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.