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Finding the Third Proportional to 43,665 and 66,750

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Solution

The third proportional to 43,665 and 66,750 is: 102,039.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,665 : 66,750 = 66,750 : x
  2. Step 2: Convert to fraction form
    43,665/66,750 = 66,750/x
  3. Step 3: Cross multiply
    43,665x = 66,750 × 66,750
  4. Step 4: Simplify right side
    43,665x = 4,455,562,500
  5. Step 5: Solve for x
    x = 4,455,562,500/43,665
  6. Step 6: Final answer
    x = 102,039.68

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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.