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Finding the Third Proportional to 978,625.50 and 1,378,127.25

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Solution

The third proportional to 978,625.50 and 1,378,127.25 is: 1,940,716.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,625.50 : 1,378,127.25 = 1,378,127.25 : x
  2. Step 2: Convert to fraction form
    978,625.50/1,378,127.25 = 1,378,127.25/x
  3. Step 3: Cross multiply
    978,625.50x = 1,378,127.25 × 1,378,127.25
  4. Step 4: Simplify right side
    978,625.50x = 1,899,234,717,192.56
  5. Step 5: Solve for x
    x = 1,899,234,717,192.56/978,625.50
  6. Step 6: Final answer
    x = 1,940,716.56

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.