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Finding the Third Proportional to 129,566.25 and 199,884.38

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Solution

The third proportional to 129,566.25 and 199,884.38 is: 308,365.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,566.25 : 199,884.38 = 199,884.38 : x
  2. Step 2: Convert to fraction form
    129,566.25/199,884.38 = 199,884.38/x
  3. Step 3: Cross multiply
    129,566.25x = 199,884.38 × 199,884.38
  4. Step 4: Simplify right side
    129,566.25x = 39,953,763,369.14
  5. Step 5: Solve for x
    x = 39,953,763,369.14/129,566.25
  6. Step 6: Final answer
    x = 308,365.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.