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Finding the Third Proportional to 201,976 and 424,256

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Solution

The third proportional to 201,976 and 424,256 is: 891,161.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,976 : 424,256 = 424,256 : x
  2. Step 2: Convert to fraction form
    201,976/424,256 = 424,256/x
  3. Step 3: Cross multiply
    201,976x = 424,256 × 424,256
  4. Step 4: Simplify right side
    201,976x = 179,993,153,536
  5. Step 5: Solve for x
    x = 179,993,153,536/201,976
  6. Step 6: Final answer
    x = 891,161.10

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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.