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Finding the Third Proportional to 193,622.50 and 421,693.50

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Solution

The third proportional to 193,622.50 and 421,693.50 is: 918,412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,622.50 : 421,693.50 = 421,693.50 : x
  2. Step 2: Convert to fraction form
    193,622.50/421,693.50 = 421,693.50/x
  3. Step 3: Cross multiply
    193,622.50x = 421,693.50 × 421,693.50
  4. Step 4: Simplify right side
    193,622.50x = 177,825,407,942.25
  5. Step 5: Solve for x
    x = 177,825,407,942.25/193,622.50
  6. Step 6: Final answer
    x = 918,412.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.