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Finding the Third Proportional to 42,180.75 and 66,399.75

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Solution

The third proportional to 42,180.75 and 66,399.75 is: 104,524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,180.75 : 66,399.75 = 66,399.75 : x
  2. Step 2: Convert to fraction form
    42,180.75/66,399.75 = 66,399.75/x
  3. Step 3: Cross multiply
    42,180.75x = 66,399.75 × 66,399.75
  4. Step 4: Simplify right side
    42,180.75x = 4,408,926,800.06
  5. Step 5: Solve for x
    x = 4,408,926,800.06/42,180.75
  6. Step 6: Final answer
    x = 104,524.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.