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Finding the Third Proportional to 223,353 and 471,546

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Solution

The third proportional to 223,353 and 471,546 is: 995,534.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,353 : 471,546 = 471,546 : x
  2. Step 2: Convert to fraction form
    223,353/471,546 = 471,546/x
  3. Step 3: Cross multiply
    223,353x = 471,546 × 471,546
  4. Step 4: Simplify right side
    223,353x = 222,355,630,116
  5. Step 5: Solve for x
    x = 222,355,630,116/223,353
  6. Step 6: Final answer
    x = 995,534.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.