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Finding the Third Proportional to 100,764 and 221,400

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Solution

The third proportional to 100,764 and 221,400 is: 486,463.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,764 : 221,400 = 221,400 : x
  2. Step 2: Convert to fraction form
    100,764/221,400 = 221,400/x
  3. Step 3: Cross multiply
    100,764x = 221,400 × 221,400
  4. Step 4: Simplify right side
    100,764x = 49,017,960,000
  5. Step 5: Solve for x
    x = 49,017,960,000/100,764
  6. Step 6: Final answer
    x = 486,463.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.