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Finding the Third Proportional to 140,834 and 313,154

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Solution

The third proportional to 140,834 and 313,154 is: 696,319.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,834 : 313,154 = 313,154 : x
  2. Step 2: Convert to fraction form
    140,834/313,154 = 313,154/x
  3. Step 3: Cross multiply
    140,834x = 313,154 × 313,154
  4. Step 4: Simplify right side
    140,834x = 98,065,427,716
  5. Step 5: Solve for x
    x = 98,065,427,716/140,834
  6. Step 6: Final answer
    x = 696,319.27

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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.