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Finding the Third Proportional to 351,288 and 739,286

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Solution

The third proportional to 351,288 and 739,286 is: 1,555,828.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,288 : 739,286 = 739,286 : x
  2. Step 2: Convert to fraction form
    351,288/739,286 = 739,286/x
  3. Step 3: Cross multiply
    351,288x = 739,286 × 739,286
  4. Step 4: Simplify right side
    351,288x = 546,543,789,796
  5. Step 5: Solve for x
    x = 546,543,789,796/351,288
  6. Step 6: Final answer
    x = 1,555,828.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.