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Finding the Third Proportional to 643,744 and 945,912

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Solution

The third proportional to 643,744 and 945,912 is: 1,389,915.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,744 : 945,912 = 945,912 : x
  2. Step 2: Convert to fraction form
    643,744/945,912 = 945,912/x
  3. Step 3: Cross multiply
    643,744x = 945,912 × 945,912
  4. Step 4: Simplify right side
    643,744x = 894,749,511,744
  5. Step 5: Solve for x
    x = 894,749,511,744/643,744
  6. Step 6: Final answer
    x = 1,389,915.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.