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Finding the Third Proportional to 420,181 and 566,116

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Solution

The third proportional to 420,181 and 566,116 is: 762,736.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,181 : 566,116 = 566,116 : x
  2. Step 2: Convert to fraction form
    420,181/566,116 = 566,116/x
  3. Step 3: Cross multiply
    420,181x = 566,116 × 566,116
  4. Step 4: Simplify right side
    420,181x = 320,487,325,456
  5. Step 5: Solve for x
    x = 320,487,325,456/420,181
  6. Step 6: Final answer
    x = 762,736.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.