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Finding the Third Proportional to 289,212 and 644,826

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Solution

The third proportional to 289,212 and 644,826 is: 1,437,701.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,212 : 644,826 = 644,826 : x
  2. Step 2: Convert to fraction form
    289,212/644,826 = 644,826/x
  3. Step 3: Cross multiply
    289,212x = 644,826 × 644,826
  4. Step 4: Simplify right side
    289,212x = 415,800,570,276
  5. Step 5: Solve for x
    x = 415,800,570,276/289,212
  6. Step 6: Final answer
    x = 1,437,701.65

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.