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Finding the Third Proportional to 66,997 and 147,143

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Solution

The third proportional to 66,997 and 147,143 is: 323,164.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,997 : 147,143 = 147,143 : x
  2. Step 2: Convert to fraction form
    66,997/147,143 = 147,143/x
  3. Step 3: Cross multiply
    66,997x = 147,143 × 147,143
  4. Step 4: Simplify right side
    66,997x = 21,651,062,449
  5. Step 5: Solve for x
    x = 21,651,062,449/66,997
  6. Step 6: Final answer
    x = 323,164.66

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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.