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Finding the Third Proportional to 190,375 and 285,599

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Solution

The third proportional to 190,375 and 285,599 is: 428,453.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,375 : 285,599 = 285,599 : x
  2. Step 2: Convert to fraction form
    190,375/285,599 = 285,599/x
  3. Step 3: Cross multiply
    190,375x = 285,599 × 285,599
  4. Step 4: Simplify right side
    190,375x = 81,566,788,801
  5. Step 5: Solve for x
    x = 81,566,788,801/190,375
  6. Step 6: Final answer
    x = 428,453.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.