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Finding the Third Proportional to 327,187 and 490,781

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Solution

The third proportional to 327,187 and 490,781 is: 736,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,187 : 490,781 = 490,781 : x
  2. Step 2: Convert to fraction form
    327,187/490,781 = 490,781/x
  3. Step 3: Cross multiply
    327,187x = 490,781 × 490,781
  4. Step 4: Simplify right side
    327,187x = 240,865,989,961
  5. Step 5: Solve for x
    x = 240,865,989,961/327,187
  6. Step 6: Final answer
    x = 736,172.25

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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.