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Finding the Third Proportional to 130,643.50 and 190,923

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Solution

The third proportional to 130,643.50 and 190,923 is: 279,015.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,643.50 : 190,923 = 190,923 : x
  2. Step 2: Convert to fraction form
    130,643.50/190,923 = 190,923/x
  3. Step 3: Cross multiply
    130,643.50x = 190,923 × 190,923
  4. Step 4: Simplify right side
    130,643.50x = 36,451,591,929
  5. Step 5: Solve for x
    x = 36,451,591,929/130,643.50
  6. Step 6: Final answer
    x = 279,015.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.