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Finding the Third Proportional to 190,028 and 403,375

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Solution

The third proportional to 190,028 and 403,375 is: 856,249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,028 : 403,375 = 403,375 : x
  2. Step 2: Convert to fraction form
    190,028/403,375 = 403,375/x
  3. Step 3: Cross multiply
    190,028x = 403,375 × 403,375
  4. Step 4: Simplify right side
    190,028x = 162,711,390,625
  5. Step 5: Solve for x
    x = 162,711,390,625/190,028
  6. Step 6: Final answer
    x = 856,249.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.