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Finding the Third Proportional to 66,939 and 100,411.50

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Solution

The third proportional to 66,939 and 100,411.50 is: 150,621.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,939 : 100,411.50 = 100,411.50 : x
  2. Step 2: Convert to fraction form
    66,939/100,411.50 = 100,411.50/x
  3. Step 3: Cross multiply
    66,939x = 100,411.50 × 100,411.50
  4. Step 4: Simplify right side
    66,939x = 10,082,469,332.25
  5. Step 5: Solve for x
    x = 10,082,469,332.25/66,939
  6. Step 6: Final answer
    x = 150,621.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.