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Finding the Third Proportional to 313,872 and 686,064

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Solution

The third proportional to 313,872 and 686,064 is: 1,499,604.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,872 : 686,064 = 686,064 : x
  2. Step 2: Convert to fraction form
    313,872/686,064 = 686,064/x
  3. Step 3: Cross multiply
    313,872x = 686,064 × 686,064
  4. Step 4: Simplify right side
    313,872x = 470,683,812,096
  5. Step 5: Solve for x
    x = 470,683,812,096/313,872
  6. Step 6: Final answer
    x = 1,499,604.34

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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.