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Finding the Third Proportional to 90,228 and 197,736

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Solution

The third proportional to 90,228 and 197,736 is: 433,341.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,228 : 197,736 = 197,736 : x
  2. Step 2: Convert to fraction form
    90,228/197,736 = 197,736/x
  3. Step 3: Cross multiply
    90,228x = 197,736 × 197,736
  4. Step 4: Simplify right side
    90,228x = 39,099,525,696
  5. Step 5: Solve for x
    x = 39,099,525,696/90,228
  6. Step 6: Final answer
    x = 433,341.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.