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Finding the Third Proportional to 30,171 and 61,151

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Solution

The third proportional to 30,171 and 61,151 is: 123,941.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,171 : 61,151 = 61,151 : x
  2. Step 2: Convert to fraction form
    30,171/61,151 = 61,151/x
  3. Step 3: Cross multiply
    30,171x = 61,151 × 61,151
  4. Step 4: Simplify right side
    30,171x = 3,739,444,801
  5. Step 5: Solve for x
    x = 3,739,444,801/30,171
  6. Step 6: Final answer
    x = 123,941.69

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.