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Finding the Third Proportional to 201,440 and 423,616

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Solution

The third proportional to 201,440 and 423,616 is: 890,838.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,440 : 423,616 = 423,616 : x
  2. Step 2: Convert to fraction form
    201,440/423,616 = 423,616/x
  3. Step 3: Cross multiply
    201,440x = 423,616 × 423,616
  4. Step 4: Simplify right side
    201,440x = 179,450,515,456
  5. Step 5: Solve for x
    x = 179,450,515,456/201,440
  6. Step 6: Final answer
    x = 890,838.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.