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Finding the Third Proportional to 409,943 and 900,589

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Solution

The third proportional to 409,943 and 900,589 is: 1,978,471.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,943 : 900,589 = 900,589 : x
  2. Step 2: Convert to fraction form
    409,943/900,589 = 900,589/x
  3. Step 3: Cross multiply
    409,943x = 900,589 × 900,589
  4. Step 4: Simplify right side
    409,943x = 811,060,546,921
  5. Step 5: Solve for x
    x = 811,060,546,921/409,943
  6. Step 6: Final answer
    x = 1,978,471.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.