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Finding the Third Proportional to 140,844 and 305,574

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Solution

The third proportional to 140,844 and 305,574 is: 662,970.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,844 : 305,574 = 305,574 : x
  2. Step 2: Convert to fraction form
    140,844/305,574 = 305,574/x
  3. Step 3: Cross multiply
    140,844x = 305,574 × 305,574
  4. Step 4: Simplify right side
    140,844x = 93,375,469,476
  5. Step 5: Solve for x
    x = 93,375,469,476/140,844
  6. Step 6: Final answer
    x = 662,970.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.