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Finding the Third Proportional to 30,980 and 66,926

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Solution

The third proportional to 30,980 and 66,926 is: 144,580.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,980 : 66,926 = 66,926 : x
  2. Step 2: Convert to fraction form
    30,980/66,926 = 66,926/x
  3. Step 3: Cross multiply
    30,980x = 66,926 × 66,926
  4. Step 4: Simplify right side
    30,980x = 4,479,089,476
  5. Step 5: Solve for x
    x = 4,479,089,476/30,980
  6. Step 6: Final answer
    x = 144,580.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.