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Finding the Third Proportional to 177,345 and 259,105

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Solution

The third proportional to 177,345 and 259,105 is: 378,558.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,345 : 259,105 = 259,105 : x
  2. Step 2: Convert to fraction form
    177,345/259,105 = 259,105/x
  3. Step 3: Cross multiply
    177,345x = 259,105 × 259,105
  4. Step 4: Simplify right side
    177,345x = 67,135,401,025
  5. Step 5: Solve for x
    x = 67,135,401,025/177,345
  6. Step 6: Final answer
    x = 378,558.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.