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Finding the Third Proportional to 144,940.50 and 208,761.75

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Solution

The third proportional to 144,940.50 and 208,761.75 is: 300,685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,940.50 : 208,761.75 = 208,761.75 : x
  2. Step 2: Convert to fraction form
    144,940.50/208,761.75 = 208,761.75/x
  3. Step 3: Cross multiply
    144,940.50x = 208,761.75 × 208,761.75
  4. Step 4: Simplify right side
    144,940.50x = 43,581,468,263.06
  5. Step 5: Solve for x
    x = 43,581,468,263.06/144,940.50
  6. Step 6: Final answer
    x = 300,685.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.