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Finding the Third Proportional to 144,290 and 313,223

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Solution

The third proportional to 144,290 and 313,223 is: 679,940.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,290 : 313,223 = 313,223 : x
  2. Step 2: Convert to fraction form
    144,290/313,223 = 313,223/x
  3. Step 3: Cross multiply
    144,290x = 313,223 × 313,223
  4. Step 4: Simplify right side
    144,290x = 98,108,647,729
  5. Step 5: Solve for x
    x = 98,108,647,729/144,290
  6. Step 6: Final answer
    x = 679,940.73

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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.