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Finding the Third Proportional to 76,644 and 102,996

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Solution

The third proportional to 76,644 and 102,996 is: 138,408.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,644 : 102,996 = 102,996 : x
  2. Step 2: Convert to fraction form
    76,644/102,996 = 102,996/x
  3. Step 3: Cross multiply
    76,644x = 102,996 × 102,996
  4. Step 4: Simplify right side
    76,644x = 10,608,176,016
  5. Step 5: Solve for x
    x = 10,608,176,016/76,644
  6. Step 6: Final answer
    x = 138,408.43

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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.