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Finding the Third Proportional to 196,838 and 305,627

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Solution

The third proportional to 196,838 and 305,627 is: 474,541.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,838 : 305,627 = 305,627 : x
  2. Step 2: Convert to fraction form
    196,838/305,627 = 305,627/x
  3. Step 3: Cross multiply
    196,838x = 305,627 × 305,627
  4. Step 4: Simplify right side
    196,838x = 93,407,863,129
  5. Step 5: Solve for x
    x = 93,407,863,129/196,838
  6. Step 6: Final answer
    x = 474,541.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.