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Finding the Third Proportional to 30,190 and 66,211

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Solution

The third proportional to 30,190 and 66,211 is: 145,210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,190 : 66,211 = 66,211 : x
  2. Step 2: Convert to fraction form
    30,190/66,211 = 66,211/x
  3. Step 3: Cross multiply
    30,190x = 66,211 × 66,211
  4. Step 4: Simplify right side
    30,190x = 4,383,896,521
  5. Step 5: Solve for x
    x = 4,383,896,521/30,190
  6. Step 6: Final answer
    x = 145,210.22

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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.