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Finding the Third Proportional to 37,980 and 83,122

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Solution

The third proportional to 37,980 and 83,122 is: 181,918.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,980 : 83,122 = 83,122 : x
  2. Step 2: Convert to fraction form
    37,980/83,122 = 83,122/x
  3. Step 3: Cross multiply
    37,980x = 83,122 × 83,122
  4. Step 4: Simplify right side
    37,980x = 6,909,266,884
  5. Step 5: Solve for x
    x = 6,909,266,884/37,980
  6. Step 6: Final answer
    x = 181,918.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.