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Finding the Third Proportional to 378,791 and 841,660

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Solution

The third proportional to 378,791 and 841,660 is: 1,870,138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,791 : 841,660 = 841,660 : x
  2. Step 2: Convert to fraction form
    378,791/841,660 = 841,660/x
  3. Step 3: Cross multiply
    378,791x = 841,660 × 841,660
  4. Step 4: Simplify right side
    378,791x = 708,391,555,600
  5. Step 5: Solve for x
    x = 708,391,555,600/378,791
  6. Step 6: Final answer
    x = 1,870,138.30

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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.