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Finding the Third Proportional to 128,200.50 and 199,020.38

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Solution

The third proportional to 128,200.50 and 199,020.38 is: 308,962.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,200.50 : 199,020.38 = 199,020.38 : x
  2. Step 2: Convert to fraction form
    128,200.50/199,020.38 = 199,020.38/x
  3. Step 3: Cross multiply
    128,200.50x = 199,020.38 × 199,020.38
  4. Step 4: Simplify right side
    128,200.50x = 39,609,109,665.14
  5. Step 5: Solve for x
    x = 39,609,109,665.14/128,200.50
  6. Step 6: Final answer
    x = 308,962.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.