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Finding the Third Proportional to 130,888.75 and 200,138.75

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Solution

The third proportional to 130,888.75 and 200,138.75 is: 306,027.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,888.75 : 200,138.75 = 200,138.75 : x
  2. Step 2: Convert to fraction form
    130,888.75/200,138.75 = 200,138.75/x
  3. Step 3: Cross multiply
    130,888.75x = 200,138.75 × 200,138.75
  4. Step 4: Simplify right side
    130,888.75x = 40,055,519,251.56
  5. Step 5: Solve for x
    x = 40,055,519,251.56/130,888.75
  6. Step 6: Final answer
    x = 306,027.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.