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Finding the Third Proportional to 321,668 and 686,084

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Solution

The third proportional to 321,668 and 686,084 is: 1,463,344.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,668 : 686,084 = 686,084 : x
  2. Step 2: Convert to fraction form
    321,668/686,084 = 686,084/x
  3. Step 3: Cross multiply
    321,668x = 686,084 × 686,084
  4. Step 4: Simplify right side
    321,668x = 470,711,255,056
  5. Step 5: Solve for x
    x = 470,711,255,056/321,668
  6. Step 6: Final answer
    x = 1,463,344.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.