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Finding the Third Proportional to 117,980 and 259,288

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Solution

The third proportional to 117,980 and 259,288 is: 569,844.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,980 : 259,288 = 259,288 : x
  2. Step 2: Convert to fraction form
    117,980/259,288 = 259,288/x
  3. Step 3: Cross multiply
    117,980x = 259,288 × 259,288
  4. Step 4: Simplify right side
    117,980x = 67,230,266,944
  5. Step 5: Solve for x
    x = 67,230,266,944/117,980
  6. Step 6: Final answer
    x = 569,844.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.