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Finding the Third Proportional to 207,968 and 425,790

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Solution

The third proportional to 207,968 and 425,790 is: 871,754.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,968 : 425,790 = 425,790 : x
  2. Step 2: Convert to fraction form
    207,968/425,790 = 425,790/x
  3. Step 3: Cross multiply
    207,968x = 425,790 × 425,790
  4. Step 4: Simplify right side
    207,968x = 181,297,124,100
  5. Step 5: Solve for x
    x = 181,297,124,100/207,968
  6. Step 6: Final answer
    x = 871,754.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.