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Finding the Third Proportional to 144,738 and 305,028

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Solution

The third proportional to 144,738 and 305,028 is: 642,831.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,738 : 305,028 = 305,028 : x
  2. Step 2: Convert to fraction form
    144,738/305,028 = 305,028/x
  3. Step 3: Cross multiply
    144,738x = 305,028 × 305,028
  4. Step 4: Simplify right side
    144,738x = 93,042,080,784
  5. Step 5: Solve for x
    x = 93,042,080,784/144,738
  6. Step 6: Final answer
    x = 642,831.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.