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Finding the Third Proportional to 375,676 and 815,036

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Solution

The third proportional to 375,676 and 815,036 is: 1,768,235.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,676 : 815,036 = 815,036 : x
  2. Step 2: Convert to fraction form
    375,676/815,036 = 815,036/x
  3. Step 3: Cross multiply
    375,676x = 815,036 × 815,036
  4. Step 4: Simplify right side
    375,676x = 664,283,681,296
  5. Step 5: Solve for x
    x = 664,283,681,296/375,676
  6. Step 6: Final answer
    x = 1,768,235.61

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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.