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Finding the Third Proportional to 142,231 and 313,103

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Solution

The third proportional to 142,231 and 313,103 is: 689,255.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,231 : 313,103 = 313,103 : x
  2. Step 2: Convert to fraction form
    142,231/313,103 = 313,103/x
  3. Step 3: Cross multiply
    142,231x = 313,103 × 313,103
  4. Step 4: Simplify right side
    142,231x = 98,033,488,609
  5. Step 5: Solve for x
    x = 98,033,488,609/142,231
  6. Step 6: Final answer
    x = 689,255.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.