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Finding the Third Proportional to 76,638 and 115,062

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Solution

The third proportional to 76,638 and 115,062 is: 172,750.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,638 : 115,062 = 115,062 : x
  2. Step 2: Convert to fraction form
    76,638/115,062 = 115,062/x
  3. Step 3: Cross multiply
    76,638x = 115,062 × 115,062
  4. Step 4: Simplify right side
    76,638x = 13,239,263,844
  5. Step 5: Solve for x
    x = 13,239,263,844/76,638
  6. Step 6: Final answer
    x = 172,750.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.