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Finding the Third Proportional to 48,318 and 76,869

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Solution

The third proportional to 48,318 and 76,869 is: 122,290.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,318 : 76,869 = 76,869 : x
  2. Step 2: Convert to fraction form
    48,318/76,869 = 76,869/x
  3. Step 3: Cross multiply
    48,318x = 76,869 × 76,869
  4. Step 4: Simplify right side
    48,318x = 5,908,843,161
  5. Step 5: Solve for x
    x = 5,908,843,161/48,318
  6. Step 6: Final answer
    x = 122,290.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.