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Finding the Third Proportional to 100,774 and 219,969

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Solution

The third proportional to 100,774 and 219,969 is: 480,147.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,774 : 219,969 = 219,969 : x
  2. Step 2: Convert to fraction form
    100,774/219,969 = 219,969/x
  3. Step 3: Cross multiply
    100,774x = 219,969 × 219,969
  4. Step 4: Simplify right side
    100,774x = 48,386,360,961
  5. Step 5: Solve for x
    x = 48,386,360,961/100,774
  6. Step 6: Final answer
    x = 480,147.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.