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Finding the Third Proportional to 104,066 and 216,940.50

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Solution

The third proportional to 104,066 and 216,940.50 is: 452,243.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,066 : 216,940.50 = 216,940.50 : x
  2. Step 2: Convert to fraction form
    104,066/216,940.50 = 216,940.50/x
  3. Step 3: Cross multiply
    104,066x = 216,940.50 × 216,940.50
  4. Step 4: Simplify right side
    104,066x = 47,063,180,540.25
  5. Step 5: Solve for x
    x = 47,063,180,540.25/104,066
  6. Step 6: Final answer
    x = 452,243.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.