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Finding the Third Proportional to 30,050 and 66,161

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Solution

The third proportional to 30,050 and 66,161 is: 145,666.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,050 : 66,161 = 66,161 : x
  2. Step 2: Convert to fraction form
    30,050/66,161 = 66,161/x
  3. Step 3: Cross multiply
    30,050x = 66,161 × 66,161
  4. Step 4: Simplify right side
    30,050x = 4,377,277,921
  5. Step 5: Solve for x
    x = 4,377,277,921/30,050
  6. Step 6: Final answer
    x = 145,666.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.