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Finding the Third Proportional to 66,270 and 141,896

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Solution

The third proportional to 66,270 and 141,896 is: 303,824.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,270 : 141,896 = 141,896 : x
  2. Step 2: Convert to fraction form
    66,270/141,896 = 141,896/x
  3. Step 3: Cross multiply
    66,270x = 141,896 × 141,896
  4. Step 4: Simplify right side
    66,270x = 20,134,474,816
  5. Step 5: Solve for x
    x = 20,134,474,816/66,270
  6. Step 6: Final answer
    x = 303,824.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.