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Finding the Third Proportional to 43,178 and 65,663

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Solution

The third proportional to 43,178 and 65,663 is: 99,857.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,178 : 65,663 = 65,663 : x
  2. Step 2: Convert to fraction form
    43,178/65,663 = 65,663/x
  3. Step 3: Cross multiply
    43,178x = 65,663 × 65,663
  4. Step 4: Simplify right side
    43,178x = 4,311,629,569
  5. Step 5: Solve for x
    x = 4,311,629,569/43,178
  6. Step 6: Final answer
    x = 99,857.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.