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Finding the Third Proportional to 161,838 and 178,767

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Solution

The third proportional to 161,838 and 178,767 is: 197,466.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,838 : 178,767 = 178,767 : x
  2. Step 2: Convert to fraction form
    161,838/178,767 = 178,767/x
  3. Step 3: Cross multiply
    161,838x = 178,767 × 178,767
  4. Step 4: Simplify right side
    161,838x = 31,957,640,289
  5. Step 5: Solve for x
    x = 31,957,640,289/161,838
  6. Step 6: Final answer
    x = 197,466.85

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.