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Finding the Third Proportional to 222,138 and 486,486

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Solution

The third proportional to 222,138 and 486,486 is: 1,065,412.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,138 : 486,486 = 486,486 : x
  2. Step 2: Convert to fraction form
    222,138/486,486 = 486,486/x
  3. Step 3: Cross multiply
    222,138x = 486,486 × 486,486
  4. Step 4: Simplify right side
    222,138x = 236,668,628,196
  5. Step 5: Solve for x
    x = 236,668,628,196/222,138
  6. Step 6: Final answer
    x = 1,065,412.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.