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Finding the Third Proportional to 144,223 and 313,322

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Solution

The third proportional to 144,223 and 313,322 is: 680,686.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,223 : 313,322 = 313,322 : x
  2. Step 2: Convert to fraction form
    144,223/313,322 = 313,322/x
  3. Step 3: Cross multiply
    144,223x = 313,322 × 313,322
  4. Step 4: Simplify right side
    144,223x = 98,170,675,684
  5. Step 5: Solve for x
    x = 98,170,675,684/144,223
  6. Step 6: Final answer
    x = 680,686.68

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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.