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Finding the Third Proportional to 178,238 and 371,219

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Solution

The third proportional to 178,238 and 371,219 is: 773,143.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,238 : 371,219 = 371,219 : x
  2. Step 2: Convert to fraction form
    178,238/371,219 = 371,219/x
  3. Step 3: Cross multiply
    178,238x = 371,219 × 371,219
  4. Step 4: Simplify right side
    178,238x = 137,803,545,961
  5. Step 5: Solve for x
    x = 137,803,545,961/178,238
  6. Step 6: Final answer
    x = 773,143.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.