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Finding the Third Proportional to 108,462 and 223,843.50

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Solution

The third proportional to 108,462 and 223,843.50 is: 461,967.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,462 : 223,843.50 = 223,843.50 : x
  2. Step 2: Convert to fraction form
    108,462/223,843.50 = 223,843.50/x
  3. Step 3: Cross multiply
    108,462x = 223,843.50 × 223,843.50
  4. Step 4: Simplify right side
    108,462x = 50,105,912,492.25
  5. Step 5: Solve for x
    x = 50,105,912,492.25/108,462
  6. Step 6: Final answer
    x = 461,967.44

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.