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Finding the Third Proportional to 100,684 and 219,454

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Solution

The third proportional to 100,684 and 219,454 is: 478,328.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,684 : 219,454 = 219,454 : x
  2. Step 2: Convert to fraction form
    100,684/219,454 = 219,454/x
  3. Step 3: Cross multiply
    100,684x = 219,454 × 219,454
  4. Step 4: Simplify right side
    100,684x = 48,160,058,116
  5. Step 5: Solve for x
    x = 48,160,058,116/100,684
  6. Step 6: Final answer
    x = 478,328.81

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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.