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Finding the Third Proportional to 378,792 and 841,662

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Solution

The third proportional to 378,792 and 841,662 is: 1,870,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,792 : 841,662 = 841,662 : x
  2. Step 2: Convert to fraction form
    378,792/841,662 = 841,662/x
  3. Step 3: Cross multiply
    378,792x = 841,662 × 841,662
  4. Step 4: Simplify right side
    378,792x = 708,394,922,244
  5. Step 5: Solve for x
    x = 708,394,922,244/378,792
  6. Step 6: Final answer
    x = 1,870,142.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.