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Finding the Third Proportional to 66,272 and 143,844

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Solution

The third proportional to 66,272 and 143,844 is: 312,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,272 : 143,844 = 143,844 : x
  2. Step 2: Convert to fraction form
    66,272/143,844 = 143,844/x
  3. Step 3: Cross multiply
    66,272x = 143,844 × 143,844
  4. Step 4: Simplify right side
    66,272x = 20,691,096,336
  5. Step 5: Solve for x
    x = 20,691,096,336/66,272
  6. Step 6: Final answer
    x = 312,214.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.