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Finding the Third Proportional to 100,719 and 216,828

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Solution

The third proportional to 100,719 and 216,828 is: 466,787.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,719 : 216,828 = 216,828 : x
  2. Step 2: Convert to fraction form
    100,719/216,828 = 216,828/x
  3. Step 3: Cross multiply
    100,719x = 216,828 × 216,828
  4. Step 4: Simplify right side
    100,719x = 47,014,381,584
  5. Step 5: Solve for x
    x = 47,014,381,584/100,719
  6. Step 6: Final answer
    x = 466,787.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.