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Finding the Third Proportional to 312,243 and 686,694

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Solution

The third proportional to 312,243 and 686,694 is: 1,510,197.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,243 : 686,694 = 686,694 : x
  2. Step 2: Convert to fraction form
    312,243/686,694 = 686,694/x
  3. Step 3: Cross multiply
    312,243x = 686,694 × 686,694
  4. Step 4: Simplify right side
    312,243x = 471,548,649,636
  5. Step 5: Solve for x
    x = 471,548,649,636/312,243
  6. Step 6: Final answer
    x = 1,510,197.67

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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.