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Finding the Third Proportional to 202,636 and 440,948

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Solution

The third proportional to 202,636 and 440,948 is: 959,529.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,636 : 440,948 = 440,948 : x
  2. Step 2: Convert to fraction form
    202,636/440,948 = 440,948/x
  3. Step 3: Cross multiply
    202,636x = 440,948 × 440,948
  4. Step 4: Simplify right side
    202,636x = 194,435,138,704
  5. Step 5: Solve for x
    x = 194,435,138,704/202,636
  6. Step 6: Final answer
    x = 959,529.10

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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.