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Finding the Third Proportional to 378,675.16 and 820,426.38

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Solution

The third proportional to 378,675.16 and 820,426.38 is: 1,777,511.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,675.16 : 820,426.38 = 820,426.38 : x
  2. Step 2: Convert to fraction form
    378,675.16/820,426.38 = 820,426.38/x
  3. Step 3: Cross multiply
    378,675.16x = 820,426.38 × 820,426.38
  4. Step 4: Simplify right side
    378,675.16x = 673,099,440,000.42
  5. Step 5: Solve for x
    x = 673,099,440,000.42/378,675.16
  6. Step 6: Final answer
    x = 1,777,511.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.