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Finding the Third Proportional to 193,459.50 and 421,455.50

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Solution

The third proportional to 193,459.50 and 421,455.50 is: 918,149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,459.50 : 421,455.50 = 421,455.50 : x
  2. Step 2: Convert to fraction form
    193,459.50/421,455.50 = 421,455.50/x
  3. Step 3: Cross multiply
    193,459.50x = 421,455.50 × 421,455.50
  4. Step 4: Simplify right side
    193,459.50x = 177,624,738,480.25
  5. Step 5: Solve for x
    x = 177,624,738,480.25/193,459.50
  6. Step 6: Final answer
    x = 918,149.48

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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.