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Finding the Third Proportional to 378,675.88 and 820,427.75

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Solution

The third proportional to 378,675.88 and 820,427.75 is: 1,777,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,675.88 : 820,427.75 = 820,427.75 : x
  2. Step 2: Convert to fraction form
    378,675.88/820,427.75 = 820,427.75/x
  3. Step 3: Cross multiply
    378,675.88x = 820,427.75 × 820,427.75
  4. Step 4: Simplify right side
    378,675.88x = 673,101,692,970.06
  5. Step 5: Solve for x
    x = 673,101,692,970.06/378,675.88
  6. Step 6: Final answer
    x = 1,777,514.06

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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.