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Finding the Third Proportional to 66,611 and 142,721

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Solution

The third proportional to 66,611 and 142,721 is: 305,794.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,611 : 142,721 = 142,721 : x
  2. Step 2: Convert to fraction form
    66,611/142,721 = 142,721/x
  3. Step 3: Cross multiply
    66,611x = 142,721 × 142,721
  4. Step 4: Simplify right side
    66,611x = 20,369,283,841
  5. Step 5: Solve for x
    x = 20,369,283,841/66,611
  6. Step 6: Final answer
    x = 305,794.60

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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.