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Finding the Third Proportional to 98,402 and 203,806

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Solution

The third proportional to 98,402 and 203,806 is: 422,114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,402 : 203,806 = 203,806 : x
  2. Step 2: Convert to fraction form
    98,402/203,806 = 203,806/x
  3. Step 3: Cross multiply
    98,402x = 203,806 × 203,806
  4. Step 4: Simplify right side
    98,402x = 41,536,885,636
  5. Step 5: Solve for x
    x = 41,536,885,636/98,402
  6. Step 6: Final answer
    x = 422,114.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.