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Finding the Third Proportional to 327,138.75 and 490,070.25

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Solution

The third proportional to 327,138.75 and 490,070.25 is: 734,149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,138.75 : 490,070.25 = 490,070.25 : x
  2. Step 2: Convert to fraction form
    327,138.75/490,070.25 = 490,070.25/x
  3. Step 3: Cross multiply
    327,138.75x = 490,070.25 × 490,070.25
  4. Step 4: Simplify right side
    327,138.75x = 240,168,849,935.06
  5. Step 5: Solve for x
    x = 240,168,849,935.06/327,138.75
  6. Step 6: Final answer
    x = 734,149.81

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Why These Related Problems?

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