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Finding the Third Proportional to 58,378 and 113,839

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Solution

The third proportional to 58,378 and 113,839 is: 221,989.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,378 : 113,839 = 113,839 : x
  2. Step 2: Convert to fraction form
    58,378/113,839 = 113,839/x
  3. Step 3: Cross multiply
    58,378x = 113,839 × 113,839
  4. Step 4: Simplify right side
    58,378x = 12,959,317,921
  5. Step 5: Solve for x
    x = 12,959,317,921/58,378
  6. Step 6: Final answer
    x = 221,989.76

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.