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Finding the Third Proportional to 415,958 and 669,873

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Solution

The third proportional to 415,958 and 669,873 is: 1,078,786.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,958 : 669,873 = 669,873 : x
  2. Step 2: Convert to fraction form
    415,958/669,873 = 669,873/x
  3. Step 3: Cross multiply
    415,958x = 669,873 × 669,873
  4. Step 4: Simplify right side
    415,958x = 448,729,836,129
  5. Step 5: Solve for x
    x = 448,729,836,129/415,958
  6. Step 6: Final answer
    x = 1,078,786.41

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.