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Finding the Third Proportional to 117,378 and 244,638

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Solution

The third proportional to 117,378 and 244,638 is: 509,871.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,378 : 244,638 = 244,638 : x
  2. Step 2: Convert to fraction form
    117,378/244,638 = 244,638/x
  3. Step 3: Cross multiply
    117,378x = 244,638 × 244,638
  4. Step 4: Simplify right side
    117,378x = 59,847,751,044
  5. Step 5: Solve for x
    x = 59,847,751,044/117,378
  6. Step 6: Final answer
    x = 509,871.96

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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.