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Finding the Third Proportional to 378,812.25 and 841,705.88

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Solution

The third proportional to 378,812.25 and 841,705.88 is: 1,870,237.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,812.25 : 841,705.88 = 841,705.88 : x
  2. Step 2: Convert to fraction form
    378,812.25/841,705.88 = 841,705.88/x
  3. Step 3: Cross multiply
    378,812.25x = 841,705.88 × 841,705.88
  4. Step 4: Simplify right side
    378,812.25x = 708,468,780,009.52
  5. Step 5: Solve for x
    x = 708,468,780,009.52/378,812.25
  6. Step 6: Final answer
    x = 1,870,237.25

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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.