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Finding the Third Proportional to 30,105 and 45,960.75

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Solution

The third proportional to 30,105 and 45,960.75 is: 70,167.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,105 : 45,960.75 = 45,960.75 : x
  2. Step 2: Convert to fraction form
    30,105/45,960.75 = 45,960.75/x
  3. Step 3: Cross multiply
    30,105x = 45,960.75 × 45,960.75
  4. Step 4: Simplify right side
    30,105x = 2,112,390,540.56
  5. Step 5: Solve for x
    x = 2,112,390,540.56/30,105
  6. Step 6: Final answer
    x = 70,167.43

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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.