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Finding the Third Proportional to 687,968 and 990,936

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Solution

The third proportional to 687,968 and 990,936 is: 1,427,325.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,968 : 990,936 = 990,936 : x
  2. Step 2: Convert to fraction form
    687,968/990,936 = 990,936/x
  3. Step 3: Cross multiply
    687,968x = 990,936 × 990,936
  4. Step 4: Simplify right side
    687,968x = 981,954,156,096
  5. Step 5: Solve for x
    x = 981,954,156,096/687,968
  6. Step 6: Final answer
    x = 1,427,325.34

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.