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Finding the Third Proportional to 30,164.50 and 66,278

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Solution

The third proportional to 30,164.50 and 66,278 is: 145,627.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,164.50 : 66,278 = 66,278 : x
  2. Step 2: Convert to fraction form
    30,164.50/66,278 = 66,278/x
  3. Step 3: Cross multiply
    30,164.50x = 66,278 × 66,278
  4. Step 4: Simplify right side
    30,164.50x = 4,392,773,284
  5. Step 5: Solve for x
    x = 4,392,773,284/30,164.50
  6. Step 6: Final answer
    x = 145,627.25

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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.