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Finding the Third Proportional to 289,921.50 and 408,273.75

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Solution

The third proportional to 289,921.50 and 408,273.75 is: 574,939.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,921.50 : 408,273.75 = 408,273.75 : x
  2. Step 2: Convert to fraction form
    289,921.50/408,273.75 = 408,273.75/x
  3. Step 3: Cross multiply
    289,921.50x = 408,273.75 × 408,273.75
  4. Step 4: Simplify right side
    289,921.50x = 166,687,454,939.06
  5. Step 5: Solve for x
    x = 166,687,454,939.06/289,921.50
  6. Step 6: Final answer
    x = 574,939.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.