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Finding the Third Proportional to 378,802 and 841,686

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Solution

The third proportional to 378,802 and 841,686 is: 1,870,199.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,802 : 841,686 = 841,686 : x
  2. Step 2: Convert to fraction form
    378,802/841,686 = 841,686/x
  3. Step 3: Cross multiply
    378,802x = 841,686 × 841,686
  4. Step 4: Simplify right side
    378,802x = 708,435,322,596
  5. Step 5: Solve for x
    x = 708,435,322,596/378,802
  6. Step 6: Final answer
    x = 1,870,199.53

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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.