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Finding the Third Proportional to 201,784 and 438,512

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Solution

The third proportional to 201,784 and 438,512 is: 952,963.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,784 : 438,512 = 438,512 : x
  2. Step 2: Convert to fraction form
    201,784/438,512 = 438,512/x
  3. Step 3: Cross multiply
    201,784x = 438,512 × 438,512
  4. Step 4: Simplify right side
    201,784x = 192,292,774,144
  5. Step 5: Solve for x
    x = 192,292,774,144/201,784
  6. Step 6: Final answer
    x = 952,963.44

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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.