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Finding the Third Proportional to 100,323.88 and 208,951.50

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Solution

The third proportional to 100,323.88 and 208,951.50 is: 435,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,323.88 : 208,951.50 = 208,951.50 : x
  2. Step 2: Convert to fraction form
    100,323.88/208,951.50 = 208,951.50/x
  3. Step 3: Cross multiply
    100,323.88x = 208,951.50 × 208,951.50
  4. Step 4: Simplify right side
    100,323.88x = 43,660,729,352.25
  5. Step 5: Solve for x
    x = 43,660,729,352.25/100,323.88
  6. Step 6: Final answer
    x = 435,197.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.