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Finding the Third Proportional to 117,009 and 276,118

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Solution

The third proportional to 117,009 and 276,118 is: 651,583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,009 : 276,118 = 276,118 : x
  2. Step 2: Convert to fraction form
    117,009/276,118 = 276,118/x
  3. Step 3: Cross multiply
    117,009x = 276,118 × 276,118
  4. Step 4: Simplify right side
    117,009x = 76,241,149,924
  5. Step 5: Solve for x
    x = 76,241,149,924/117,009
  6. Step 6: Final answer
    x = 651,583.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.