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Finding the Third Proportional to 491,600 and 741,912

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Solution

The third proportional to 491,600 and 741,912 is: 1,119,677.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,600 : 741,912 = 741,912 : x
  2. Step 2: Convert to fraction form
    491,600/741,912 = 741,912/x
  3. Step 3: Cross multiply
    491,600x = 741,912 × 741,912
  4. Step 4: Simplify right side
    491,600x = 550,433,415,744
  5. Step 5: Solve for x
    x = 550,433,415,744/491,600
  6. Step 6: Final answer
    x = 1,119,677.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.