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Finding the Third Proportional to 431,647 and 939,925

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Solution

The third proportional to 431,647 and 939,925 is: 2,046,716.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,647 : 939,925 = 939,925 : x
  2. Step 2: Convert to fraction form
    431,647/939,925 = 939,925/x
  3. Step 3: Cross multiply
    431,647x = 939,925 × 939,925
  4. Step 4: Simplify right side
    431,647x = 883,459,005,625
  5. Step 5: Solve for x
    x = 883,459,005,625/431,647
  6. Step 6: Final answer
    x = 2,046,716.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.