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Finding the Third Proportional to 66,980 and 104,518

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Solution

The third proportional to 66,980 and 104,518 is: 163,093.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,980 : 104,518 = 104,518 : x
  2. Step 2: Convert to fraction form
    66,980/104,518 = 104,518/x
  3. Step 3: Cross multiply
    66,980x = 104,518 × 104,518
  4. Step 4: Simplify right side
    66,980x = 10,924,012,324
  5. Step 5: Solve for x
    x = 10,924,012,324/66,980
  6. Step 6: Final answer
    x = 163,093.64

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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.