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Finding the Third Proportional to 291,873 and 641,211

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Solution

The third proportional to 291,873 and 641,211 is: 1,408,665.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,873 : 641,211 = 641,211 : x
  2. Step 2: Convert to fraction form
    291,873/641,211 = 641,211/x
  3. Step 3: Cross multiply
    291,873x = 641,211 × 641,211
  4. Step 4: Simplify right side
    291,873x = 411,151,546,521
  5. Step 5: Solve for x
    x = 411,151,546,521/291,873
  6. Step 6: Final answer
    x = 1,408,665.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.