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Finding the Third Proportional to 66,808 and 104,040

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Solution

The third proportional to 66,808 and 104,040 is: 162,021.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,808 : 104,040 = 104,040 : x
  2. Step 2: Convert to fraction form
    66,808/104,040 = 104,040/x
  3. Step 3: Cross multiply
    66,808x = 104,040 × 104,040
  4. Step 4: Simplify right side
    66,808x = 10,824,321,600
  5. Step 5: Solve for x
    x = 10,824,321,600/66,808
  6. Step 6: Final answer
    x = 162,021.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.