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Finding the Third Proportional to 178,731 and 262,081

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Solution

The third proportional to 178,731 and 262,081 is: 384,300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,731 : 262,081 = 262,081 : x
  2. Step 2: Convert to fraction form
    178,731/262,081 = 262,081/x
  3. Step 3: Cross multiply
    178,731x = 262,081 × 262,081
  4. Step 4: Simplify right side
    178,731x = 68,686,450,561
  5. Step 5: Solve for x
    x = 68,686,450,561/178,731
  6. Step 6: Final answer
    x = 384,300.71

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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.