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Finding the Third Proportional to 128,297.25 and 199,143.56

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Solution

The third proportional to 128,297.25 and 199,143.56 is: 309,111.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,297.25 : 199,143.56 = 199,143.56 : x
  2. Step 2: Convert to fraction form
    128,297.25/199,143.56 = 199,143.56/x
  3. Step 3: Cross multiply
    128,297.25x = 199,143.56 × 199,143.56
  4. Step 4: Simplify right side
    128,297.25x = 39,658,158,485.19
  5. Step 5: Solve for x
    x = 39,658,158,485.19/128,297.25
  6. Step 6: Final answer
    x = 309,111.52

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Why These Related Problems?

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