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Finding the Third Proportional to 259,223 and 381,219

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Solution

The third proportional to 259,223 and 381,219 is: 560,628.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,223 : 381,219 = 381,219 : x
  2. Step 2: Convert to fraction form
    259,223/381,219 = 381,219/x
  3. Step 3: Cross multiply
    259,223x = 381,219 × 381,219
  4. Step 4: Simplify right side
    259,223x = 145,327,925,961
  5. Step 5: Solve for x
    x = 145,327,925,961/259,223
  6. Step 6: Final answer
    x = 560,628.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.