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Finding the Third Proportional to 203,128 and 440,153

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Solution

The third proportional to 203,128 and 440,153 is: 953,756.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,128 : 440,153 = 440,153 : x
  2. Step 2: Convert to fraction form
    203,128/440,153 = 440,153/x
  3. Step 3: Cross multiply
    203,128x = 440,153 × 440,153
  4. Step 4: Simplify right side
    203,128x = 193,734,663,409
  5. Step 5: Solve for x
    x = 193,734,663,409/203,128
  6. Step 6: Final answer
    x = 953,756.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.