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Finding the Third Proportional to 222,678 and 492,012

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Solution

The third proportional to 222,678 and 492,012 is: 1,087,111.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,678 : 492,012 = 492,012 : x
  2. Step 2: Convert to fraction form
    222,678/492,012 = 492,012/x
  3. Step 3: Cross multiply
    222,678x = 492,012 × 492,012
  4. Step 4: Simplify right side
    222,678x = 242,075,808,144
  5. Step 5: Solve for x
    x = 242,075,808,144/222,678
  6. Step 6: Final answer
    x = 1,087,111.47

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.