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Finding the Third Proportional to 143,218 and 214,728

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Solution

The third proportional to 143,218 and 214,728 is: 321,943.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,218 : 214,728 = 214,728 : x
  2. Step 2: Convert to fraction form
    143,218/214,728 = 214,728/x
  3. Step 3: Cross multiply
    143,218x = 214,728 × 214,728
  4. Step 4: Simplify right side
    143,218x = 46,108,113,984
  5. Step 5: Solve for x
    x = 46,108,113,984/143,218
  6. Step 6: Final answer
    x = 321,943.57

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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.