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Finding the Third Proportional to 267,710 and 356,907

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Solution

The third proportional to 267,710 and 356,907 is: 475,823.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,710 : 356,907 = 356,907 : x
  2. Step 2: Convert to fraction form
    267,710/356,907 = 356,907/x
  3. Step 3: Cross multiply
    267,710x = 356,907 × 356,907
  4. Step 4: Simplify right side
    267,710x = 127,382,606,649
  5. Step 5: Solve for x
    x = 127,382,606,649/267,710
  6. Step 6: Final answer
    x = 475,823.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.