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Finding the Third Proportional to 190,908.75 and 431,323.88

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Solution

The third proportional to 190,908.75 and 431,323.88 is: 974,498.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,908.75 : 431,323.88 = 431,323.88 : x
  2. Step 2: Convert to fraction form
    190,908.75/431,323.88 = 431,323.88/x
  3. Step 3: Cross multiply
    190,908.75x = 431,323.88 × 431,323.88
  4. Step 4: Simplify right side
    190,908.75x = 186,040,285,145.02
  5. Step 5: Solve for x
    x = 186,040,285,145.02/190,908.75
  6. Step 6: Final answer
    x = 974,498.47

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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.