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Finding the Third Proportional to 100,833 and 221,045

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Solution

The third proportional to 100,833 and 221,045 is: 484,572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,833 : 221,045 = 221,045 : x
  2. Step 2: Convert to fraction form
    100,833/221,045 = 221,045/x
  3. Step 3: Cross multiply
    100,833x = 221,045 × 221,045
  4. Step 4: Simplify right side
    100,833x = 48,860,892,025
  5. Step 5: Solve for x
    x = 48,860,892,025/100,833
  6. Step 6: Final answer
    x = 484,572.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.