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Finding the Third Proportional to 311,923.50 and 472,288.50

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Solution

The third proportional to 311,923.50 and 472,288.50 is: 715,099.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,923.50 : 472,288.50 = 472,288.50 : x
  2. Step 2: Convert to fraction form
    311,923.50/472,288.50 = 472,288.50/x
  3. Step 3: Cross multiply
    311,923.50x = 472,288.50 × 472,288.50
  4. Step 4: Simplify right side
    311,923.50x = 223,056,427,232.25
  5. Step 5: Solve for x
    x = 223,056,427,232.25/311,923.50
  6. Step 6: Final answer
    x = 715,099.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.