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Finding the Third Proportional to 431,647 and 938,902

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Solution

The third proportional to 431,647 and 938,902 is: 2,042,263.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,647 : 938,902 = 938,902 : x
  2. Step 2: Convert to fraction form
    431,647/938,902 = 938,902/x
  3. Step 3: Cross multiply
    431,647x = 938,902 × 938,902
  4. Step 4: Simplify right side
    431,647x = 881,536,965,604
  5. Step 5: Solve for x
    x = 881,536,965,604/431,647
  6. Step 6: Final answer
    x = 2,042,263.62

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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.