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Finding the Third Proportional to 202,908 and 433,956

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Solution

The third proportional to 202,908 and 433,956 is: 928,094.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,908 : 433,956 = 433,956 : x
  2. Step 2: Convert to fraction form
    202,908/433,956 = 433,956/x
  3. Step 3: Cross multiply
    202,908x = 433,956 × 433,956
  4. Step 4: Simplify right side
    202,908x = 188,317,809,936
  5. Step 5: Solve for x
    x = 188,317,809,936/202,908
  6. Step 6: Final answer
    x = 928,094.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.