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Finding the Third Proportional to 98,922 and 209,615

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Solution

The third proportional to 98,922 and 209,615 is: 444,172.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,922 : 209,615 = 209,615 : x
  2. Step 2: Convert to fraction form
    98,922/209,615 = 209,615/x
  3. Step 3: Cross multiply
    98,922x = 209,615 × 209,615
  4. Step 4: Simplify right side
    98,922x = 43,938,448,225
  5. Step 5: Solve for x
    x = 43,938,448,225/98,922
  6. Step 6: Final answer
    x = 444,172.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.