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Finding the Third Proportional to 144,228 and 305,079

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Solution

The third proportional to 144,228 and 305,079 is: 645,319.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,228 : 305,079 = 305,079 : x
  2. Step 2: Convert to fraction form
    144,228/305,079 = 305,079/x
  3. Step 3: Cross multiply
    144,228x = 305,079 × 305,079
  4. Step 4: Simplify right side
    144,228x = 93,073,196,241
  5. Step 5: Solve for x
    x = 93,073,196,241/144,228
  6. Step 6: Final answer
    x = 645,319.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.