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Finding the Third Proportional to 128,220.75 and 199,050.75

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Solution

The third proportional to 128,220.75 and 199,050.75 is: 309,007.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,220.75 : 199,050.75 = 199,050.75 : x
  2. Step 2: Convert to fraction form
    128,220.75/199,050.75 = 199,050.75/x
  3. Step 3: Cross multiply
    128,220.75x = 199,050.75 × 199,050.75
  4. Step 4: Simplify right side
    128,220.75x = 39,621,201,075.56
  5. Step 5: Solve for x
    x = 39,621,201,075.56/128,220.75
  6. Step 6: Final answer
    x = 309,007.72

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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.