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Finding the Third Proportional to 299,772 and 649,344

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Solution

The third proportional to 299,772 and 649,344 is: 1,406,561.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,772 : 649,344 = 649,344 : x
  2. Step 2: Convert to fraction form
    299,772/649,344 = 649,344/x
  3. Step 3: Cross multiply
    299,772x = 649,344 × 649,344
  4. Step 4: Simplify right side
    299,772x = 421,647,630,336
  5. Step 5: Solve for x
    x = 421,647,630,336/299,772
  6. Step 6: Final answer
    x = 1,406,561.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.