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Finding the Third Proportional to 378,796.50 and 841,674.38

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Solution

The third proportional to 378,796.50 and 841,674.38 is: 1,870,175.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,796.50 : 841,674.38 = 841,674.38 : x
  2. Step 2: Convert to fraction form
    378,796.50/841,674.38 = 841,674.38/x
  3. Step 3: Cross multiply
    378,796.50x = 841,674.38 × 841,674.38
  4. Step 4: Simplify right side
    378,796.50x = 708,415,753,531.64
  5. Step 5: Solve for x
    x = 708,415,753,531.64/378,796.50
  6. Step 6: Final answer
    x = 1,870,175.02

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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.