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Finding the Third Proportional to 92,546 and 198,232

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Solution

The third proportional to 92,546 and 198,232 is: 424,609.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,546 : 198,232 = 198,232 : x
  2. Step 2: Convert to fraction form
    92,546/198,232 = 198,232/x
  3. Step 3: Cross multiply
    92,546x = 198,232 × 198,232
  4. Step 4: Simplify right side
    92,546x = 39,295,925,824
  5. Step 5: Solve for x
    x = 39,295,925,824/92,546
  6. Step 6: Final answer
    x = 424,609.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.