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Finding the Third Proportional to 98,220 and 209,256

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Solution

The third proportional to 98,220 and 209,256 is: 445,816.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,220 : 209,256 = 209,256 : x
  2. Step 2: Convert to fraction form
    98,220/209,256 = 209,256/x
  3. Step 3: Cross multiply
    98,220x = 209,256 × 209,256
  4. Step 4: Simplify right side
    98,220x = 43,788,073,536
  5. Step 5: Solve for x
    x = 43,788,073,536/98,220
  6. Step 6: Final answer
    x = 445,816.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.