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Finding the Third Proportional to 351,309 and 770,898

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Solution

The third proportional to 351,309 and 770,898 is: 1,691,626.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,309 : 770,898 = 770,898 : x
  2. Step 2: Convert to fraction form
    351,309/770,898 = 770,898/x
  3. Step 3: Cross multiply
    351,309x = 770,898 × 770,898
  4. Step 4: Simplify right side
    351,309x = 594,283,726,404
  5. Step 5: Solve for x
    x = 594,283,726,404/351,309
  6. Step 6: Final answer
    x = 1,691,626.82

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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.