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Finding the Third Proportional to 312,288 and 671,936

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Solution

The third proportional to 312,288 and 671,936 is: 1,445,774.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,288 : 671,936 = 671,936 : x
  2. Step 2: Convert to fraction form
    312,288/671,936 = 671,936/x
  3. Step 3: Cross multiply
    312,288x = 671,936 × 671,936
  4. Step 4: Simplify right side
    312,288x = 451,497,988,096
  5. Step 5: Solve for x
    x = 451,497,988,096/312,288
  6. Step 6: Final answer
    x = 1,445,774.38

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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.