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Finding the Third Proportional to 308,811 and 449,143.50

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Solution

The third proportional to 308,811 and 449,143.50 is: 653,247.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,811 : 449,143.50 = 449,143.50 : x
  2. Step 2: Convert to fraction form
    308,811/449,143.50 = 449,143.50/x
  3. Step 3: Cross multiply
    308,811x = 449,143.50 × 449,143.50
  4. Step 4: Simplify right side
    308,811x = 201,729,883,592.25
  5. Step 5: Solve for x
    x = 201,729,883,592.25/308,811
  6. Step 6: Final answer
    x = 653,247.08

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.