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Finding the Third Proportional to 30,318 and 61,869

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Solution

The third proportional to 30,318 and 61,869 is: 126,254.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,318 : 61,869 = 61,869 : x
  2. Step 2: Convert to fraction form
    30,318/61,869 = 61,869/x
  3. Step 3: Cross multiply
    30,318x = 61,869 × 61,869
  4. Step 4: Simplify right side
    30,318x = 3,827,773,161
  5. Step 5: Solve for x
    x = 3,827,773,161/30,318
  6. Step 6: Final answer
    x = 126,254.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.