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Finding the Third Proportional to 66,069 and 102,019

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Solution

The third proportional to 66,069 and 102,019 is: 157,530.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,069 : 102,019 = 102,019 : x
  2. Step 2: Convert to fraction form
    66,069/102,019 = 102,019/x
  3. Step 3: Cross multiply
    66,069x = 102,019 × 102,019
  4. Step 4: Simplify right side
    66,069x = 10,407,876,361
  5. Step 5: Solve for x
    x = 10,407,876,361/66,069
  6. Step 6: Final answer
    x = 157,530.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.