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Finding the Third Proportional to 100,828 and 219,437

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Solution

The third proportional to 100,828 and 219,437 is: 477,571.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,828 : 219,437 = 219,437 : x
  2. Step 2: Convert to fraction form
    100,828/219,437 = 219,437/x
  3. Step 3: Cross multiply
    100,828x = 219,437 × 219,437
  4. Step 4: Simplify right side
    100,828x = 48,152,596,969
  5. Step 5: Solve for x
    x = 48,152,596,969/100,828
  6. Step 6: Final answer
    x = 477,571.68

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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.