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Finding the Third Proportional to 299,463 and 649,288.50

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Solution

The third proportional to 299,463 and 649,288.50 is: 1,407,771.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,463 : 649,288.50 = 649,288.50 : x
  2. Step 2: Convert to fraction form
    299,463/649,288.50 = 649,288.50/x
  3. Step 3: Cross multiply
    299,463x = 649,288.50 × 649,288.50
  4. Step 4: Simplify right side
    299,463x = 421,575,556,232.25
  5. Step 5: Solve for x
    x = 421,575,556,232.25/299,463
  6. Step 6: Final answer
    x = 1,407,771.77

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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.