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Finding the Third Proportional to 438,397 and 942,302

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Solution

The third proportional to 438,397 and 942,302 is: 2,025,408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,397 : 942,302 = 942,302 : x
  2. Step 2: Convert to fraction form
    438,397/942,302 = 942,302/x
  3. Step 3: Cross multiply
    438,397x = 942,302 × 942,302
  4. Step 4: Simplify right side
    438,397x = 887,933,059,204
  5. Step 5: Solve for x
    x = 887,933,059,204/438,397
  6. Step 6: Final answer
    x = 2,025,408.61

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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.