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Finding the Third Proportional to 66,980 and 141,832

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Solution

The third proportional to 66,980 and 141,832 is: 300,333.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,980 : 141,832 = 141,832 : x
  2. Step 2: Convert to fraction form
    66,980/141,832 = 141,832/x
  3. Step 3: Cross multiply
    66,980x = 141,832 × 141,832
  4. Step 4: Simplify right side
    66,980x = 20,116,316,224
  5. Step 5: Solve for x
    x = 20,116,316,224/66,980
  6. Step 6: Final answer
    x = 300,333.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.