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Finding the Third Proportional to 299,920 and 633,554

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Solution

The third proportional to 299,920 and 633,554 is: 1,338,325.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,920 : 633,554 = 633,554 : x
  2. Step 2: Convert to fraction form
    299,920/633,554 = 633,554/x
  3. Step 3: Cross multiply
    299,920x = 633,554 × 633,554
  4. Step 4: Simplify right side
    299,920x = 401,390,670,916
  5. Step 5: Solve for x
    x = 401,390,670,916/299,920
  6. Step 6: Final answer
    x = 1,338,325.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.