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Finding the Third Proportional to 30,865.50 and 66,411

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Solution

The third proportional to 30,865.50 and 66,411 is: 142,891.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,865.50 : 66,411 = 66,411 : x
  2. Step 2: Convert to fraction form
    30,865.50/66,411 = 66,411/x
  3. Step 3: Cross multiply
    30,865.50x = 66,411 × 66,411
  4. Step 4: Simplify right side
    30,865.50x = 4,410,420,921
  5. Step 5: Solve for x
    x = 4,410,420,921/30,865.50
  6. Step 6: Final answer
    x = 142,891.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.