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Finding the Third Proportional to 190,650 and 405,951

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Solution

The third proportional to 190,650 and 405,951 is: 864,391.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,650 : 405,951 = 405,951 : x
  2. Step 2: Convert to fraction form
    190,650/405,951 = 405,951/x
  3. Step 3: Cross multiply
    190,650x = 405,951 × 405,951
  4. Step 4: Simplify right side
    190,650x = 164,796,214,401
  5. Step 5: Solve for x
    x = 164,796,214,401/190,650
  6. Step 6: Final answer
    x = 864,391.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.