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Finding the Third Proportional to 378,778.15 and 841,636.20

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Solution

The third proportional to 378,778.15 and 841,636.20 is: 1,870,095.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,778.15 : 841,636.20 = 841,636.20 : x
  2. Step 2: Convert to fraction form
    378,778.15/841,636.20 = 841,636.20/x
  3. Step 3: Cross multiply
    378,778.15x = 841,636.20 × 841,636.20
  4. Step 4: Simplify right side
    378,778.15x = 708,351,485,260.10
  5. Step 5: Solve for x
    x = 708,351,485,260.10/378,778.15
  6. Step 6: Final answer
    x = 1,870,095.96

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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.