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Finding the Third Proportional to 140,838 and 313,166

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Solution

The third proportional to 140,838 and 313,166 is: 696,352.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,838 : 313,166 = 313,166 : x
  2. Step 2: Convert to fraction form
    140,838/313,166 = 313,166/x
  3. Step 3: Cross multiply
    140,838x = 313,166 × 313,166
  4. Step 4: Simplify right side
    140,838x = 98,072,943,556
  5. Step 5: Solve for x
    x = 98,072,943,556/140,838
  6. Step 6: Final answer
    x = 696,352.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.