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Finding the Third Proportional to 222,920 and 342,156

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Solution

The third proportional to 222,920 and 342,156 is: 525,169.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,920 : 342,156 = 342,156 : x
  2. Step 2: Convert to fraction form
    222,920/342,156 = 342,156/x
  3. Step 3: Cross multiply
    222,920x = 342,156 × 342,156
  4. Step 4: Simplify right side
    222,920x = 117,070,728,336
  5. Step 5: Solve for x
    x = 117,070,728,336/222,920
  6. Step 6: Final answer
    x = 525,169.25

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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.