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Finding the Third Proportional to 327,145.50 and 478,028.25

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Solution

The third proportional to 327,145.50 and 478,028.25 is: 698,499.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,145.50 : 478,028.25 = 478,028.25 : x
  2. Step 2: Convert to fraction form
    327,145.50/478,028.25 = 478,028.25/x
  3. Step 3: Cross multiply
    327,145.50x = 478,028.25 × 478,028.25
  4. Step 4: Simplify right side
    327,145.50x = 228,511,007,798.06
  5. Step 5: Solve for x
    x = 228,511,007,798.06/327,145.50
  6. Step 6: Final answer
    x = 698,499.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.