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Finding the Third Proportional to 378,804 and 841,690

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Solution

The third proportional to 378,804 and 841,690 is: 1,870,207.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,804 : 841,690 = 841,690 : x
  2. Step 2: Convert to fraction form
    378,804/841,690 = 841,690/x
  3. Step 3: Cross multiply
    378,804x = 841,690 × 841,690
  4. Step 4: Simplify right side
    378,804x = 708,442,056,100
  5. Step 5: Solve for x
    x = 708,442,056,100/378,804
  6. Step 6: Final answer
    x = 1,870,207.43

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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.