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Finding the Third Proportional to 76,646 and 102,999

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Solution

The third proportional to 76,646 and 102,999 is: 138,412.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,646 : 102,999 = 102,999 : x
  2. Step 2: Convert to fraction form
    76,646/102,999 = 102,999/x
  3. Step 3: Cross multiply
    76,646x = 102,999 × 102,999
  4. Step 4: Simplify right side
    76,646x = 10,608,794,001
  5. Step 5: Solve for x
    x = 10,608,794,001/76,646
  6. Step 6: Final answer
    x = 138,412.89

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.