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Finding the Third Proportional to 76,138 and 113,787

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Solution

The third proportional to 76,138 and 113,787 is: 170,052.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,138 : 113,787 = 113,787 : x
  2. Step 2: Convert to fraction form
    76,138/113,787 = 113,787/x
  3. Step 3: Cross multiply
    76,138x = 113,787 × 113,787
  4. Step 4: Simplify right side
    76,138x = 12,947,481,369
  5. Step 5: Solve for x
    x = 12,947,481,369/76,138
  6. Step 6: Final answer
    x = 170,052.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.