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Finding the Third Proportional to 66,843 and 147,077

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Solution

The third proportional to 66,843 and 147,077 is: 323,618.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,843 : 147,077 = 147,077 : x
  2. Step 2: Convert to fraction form
    66,843/147,077 = 147,077/x
  3. Step 3: Cross multiply
    66,843x = 147,077 × 147,077
  4. Step 4: Simplify right side
    66,843x = 21,631,643,929
  5. Step 5: Solve for x
    x = 21,631,643,929/66,843
  6. Step 6: Final answer
    x = 323,618.69

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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.