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Finding the Third Proportional to 100,830 and 219,441

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Solution

The third proportional to 100,830 and 219,441 is: 477,579.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,830 : 219,441 = 219,441 : x
  2. Step 2: Convert to fraction form
    100,830/219,441 = 219,441/x
  3. Step 3: Cross multiply
    100,830x = 219,441 × 219,441
  4. Step 4: Simplify right side
    100,830x = 48,154,352,481
  5. Step 5: Solve for x
    x = 48,154,352,481/100,830
  6. Step 6: Final answer
    x = 477,579.61

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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.