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Finding the Third Proportional to 318,880 and 693,808

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Solution

The third proportional to 318,880 and 693,808 is: 1,509,563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,880 : 693,808 = 693,808 : x
  2. Step 2: Convert to fraction form
    318,880/693,808 = 693,808/x
  3. Step 3: Cross multiply
    318,880x = 693,808 × 693,808
  4. Step 4: Simplify right side
    318,880x = 481,369,540,864
  5. Step 5: Solve for x
    x = 481,369,540,864/318,880
  6. Step 6: Final answer
    x = 1,509,563.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.