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Finding the Third Proportional to 45,228 and 80,736

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Solution

The third proportional to 45,228 and 80,736 is: 144,120.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,228 : 80,736 = 80,736 : x
  2. Step 2: Convert to fraction form
    45,228/80,736 = 80,736/x
  3. Step 3: Cross multiply
    45,228x = 80,736 × 80,736
  4. Step 4: Simplify right side
    45,228x = 6,518,301,696
  5. Step 5: Solve for x
    x = 6,518,301,696/45,228
  6. Step 6: Final answer
    x = 144,120.94

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.