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Finding the Third Proportional to 351,286 and 757,868

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Solution

The third proportional to 351,286 and 757,868 is: 1,635,032.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,286 : 757,868 = 757,868 : x
  2. Step 2: Convert to fraction form
    351,286/757,868 = 757,868/x
  3. Step 3: Cross multiply
    351,286x = 757,868 × 757,868
  4. Step 4: Simplify right side
    351,286x = 574,363,905,424
  5. Step 5: Solve for x
    x = 574,363,905,424/351,286
  6. Step 6: Final answer
    x = 1,635,032.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.