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Finding the Third Proportional to 431,512 and 938,311

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Solution

The third proportional to 431,512 and 938,311 is: 2,040,331.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,512 : 938,311 = 938,311 : x
  2. Step 2: Convert to fraction form
    431,512/938,311 = 938,311/x
  3. Step 3: Cross multiply
    431,512x = 938,311 × 938,311
  4. Step 4: Simplify right side
    431,512x = 880,427,532,721
  5. Step 5: Solve for x
    x = 880,427,532,721/431,512
  6. Step 6: Final answer
    x = 2,040,331.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.