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Finding the Third Proportional to 30,778 and 66,956

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Solution

The third proportional to 30,778 and 66,956 is: 145,659.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,778 : 66,956 = 66,956 : x
  2. Step 2: Convert to fraction form
    30,778/66,956 = 66,956/x
  3. Step 3: Cross multiply
    30,778x = 66,956 × 66,956
  4. Step 4: Simplify right side
    30,778x = 4,483,105,936
  5. Step 5: Solve for x
    x = 4,483,105,936/30,778
  6. Step 6: Final answer
    x = 145,659.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.