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Finding the Third Proportional to 105,816 and 220,400

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Solution

The third proportional to 105,816 and 220,400 is: 459,062.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,816 : 220,400 = 220,400 : x
  2. Step 2: Convert to fraction form
    105,816/220,400 = 220,400/x
  3. Step 3: Cross multiply
    105,816x = 220,400 × 220,400
  4. Step 4: Simplify right side
    105,816x = 48,576,160,000
  5. Step 5: Solve for x
    x = 48,576,160,000/105,816
  6. Step 6: Final answer
    x = 459,062.52

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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.