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Finding the Third Proportional to 378,781 and 841,642

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Solution

The third proportional to 378,781 and 841,642 is: 1,870,107.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,781 : 841,642 = 841,642 : x
  2. Step 2: Convert to fraction form
    378,781/841,642 = 841,642/x
  3. Step 3: Cross multiply
    378,781x = 841,642 × 841,642
  4. Step 4: Simplify right side
    378,781x = 708,361,256,164
  5. Step 5: Solve for x
    x = 708,361,256,164/378,781
  6. Step 6: Final answer
    x = 1,870,107.68

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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.