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Finding the Third Proportional to 157,968 and 222,210

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Solution

The third proportional to 157,968 and 222,210 is: 312,577.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,968 : 222,210 = 222,210 : x
  2. Step 2: Convert to fraction form
    157,968/222,210 = 222,210/x
  3. Step 3: Cross multiply
    157,968x = 222,210 × 222,210
  4. Step 4: Simplify right side
    157,968x = 49,377,284,100
  5. Step 5: Solve for x
    x = 49,377,284,100/157,968
  6. Step 6: Final answer
    x = 312,577.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.