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Finding the Third Proportional to 66,816 and 107,463

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Solution

The third proportional to 66,816 and 107,463 is: 172,837.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,816 : 107,463 = 107,463 : x
  2. Step 2: Convert to fraction form
    66,816/107,463 = 107,463/x
  3. Step 3: Cross multiply
    66,816x = 107,463 × 107,463
  4. Step 4: Simplify right side
    66,816x = 11,548,296,369
  5. Step 5: Solve for x
    x = 11,548,296,369/66,816
  6. Step 6: Final answer
    x = 172,837.29

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.