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Finding the Third Proportional to 289,383 and 623,212

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Solution

The third proportional to 289,383 and 623,212 is: 1,342,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,383 : 623,212 = 623,212 : x
  2. Step 2: Convert to fraction form
    289,383/623,212 = 623,212/x
  3. Step 3: Cross multiply
    289,383x = 623,212 × 623,212
  4. Step 4: Simplify right side
    289,383x = 388,393,196,944
  5. Step 5: Solve for x
    x = 388,393,196,944/289,383
  6. Step 6: Final answer
    x = 1,342,142.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.