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Finding the Third Proportional to 295,400 and 644,266

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Solution

The third proportional to 295,400 and 644,266 is: 1,405,141.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,400 : 644,266 = 644,266 : x
  2. Step 2: Convert to fraction form
    295,400/644,266 = 644,266/x
  3. Step 3: Cross multiply
    295,400x = 644,266 × 644,266
  4. Step 4: Simplify right side
    295,400x = 415,078,678,756
  5. Step 5: Solve for x
    x = 415,078,678,756/295,400
  6. Step 6: Final answer
    x = 1,405,141.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.