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Finding the Third Proportional to 100,300 and 220,283

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Solution

The third proportional to 100,300 and 220,283 is: 483,794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,300 : 220,283 = 220,283 : x
  2. Step 2: Convert to fraction form
    100,300/220,283 = 220,283/x
  3. Step 3: Cross multiply
    100,300x = 220,283 × 220,283
  4. Step 4: Simplify right side
    100,300x = 48,524,600,089
  5. Step 5: Solve for x
    x = 48,524,600,089/100,300
  6. Step 6: Final answer
    x = 483,794.62

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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.