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Finding the Third Proportional to 190,908 and 431,322

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Solution

The third proportional to 190,908 and 431,322 is: 974,493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,908 : 431,322 = 431,322 : x
  2. Step 2: Convert to fraction form
    190,908/431,322 = 431,322/x
  3. Step 3: Cross multiply
    190,908x = 431,322 × 431,322
  4. Step 4: Simplify right side
    190,908x = 186,038,667,684
  5. Step 5: Solve for x
    x = 186,038,667,684/190,908
  6. Step 6: Final answer
    x = 974,493.83

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.