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Finding the Third Proportional to 313,956 and 686,200

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Solution

The third proportional to 313,956 and 686,200 is: 1,499,797.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,956 : 686,200 = 686,200 : x
  2. Step 2: Convert to fraction form
    313,956/686,200 = 686,200/x
  3. Step 3: Cross multiply
    313,956x = 686,200 × 686,200
  4. Step 4: Simplify right side
    313,956x = 470,870,440,000
  5. Step 5: Solve for x
    x = 470,870,440,000/313,956
  6. Step 6: Final answer
    x = 1,499,797.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.