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Finding the Third Proportional to 203,608 and 438,434

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Solution

The third proportional to 203,608 and 438,434 is: 944,090.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,608 : 438,434 = 438,434 : x
  2. Step 2: Convert to fraction form
    203,608/438,434 = 438,434/x
  3. Step 3: Cross multiply
    203,608x = 438,434 × 438,434
  4. Step 4: Simplify right side
    203,608x = 192,224,372,356
  5. Step 5: Solve for x
    x = 192,224,372,356/203,608
  6. Step 6: Final answer
    x = 944,090.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.