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Finding the Third Proportional to 222,918 and 342,153

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Solution

The third proportional to 222,918 and 342,153 is: 525,164.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,918 : 342,153 = 342,153 : x
  2. Step 2: Convert to fraction form
    222,918/342,153 = 342,153/x
  3. Step 3: Cross multiply
    222,918x = 342,153 × 342,153
  4. Step 4: Simplify right side
    222,918x = 117,068,675,409
  5. Step 5: Solve for x
    x = 117,068,675,409/222,918
  6. Step 6: Final answer
    x = 525,164.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.