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Finding the Third Proportional to 76,102 and 108,172

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Solution

The third proportional to 76,102 and 108,172 is: 153,756.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,102 : 108,172 = 108,172 : x
  2. Step 2: Convert to fraction form
    76,102/108,172 = 108,172/x
  3. Step 3: Cross multiply
    76,102x = 108,172 × 108,172
  4. Step 4: Simplify right side
    76,102x = 11,701,181,584
  5. Step 5: Solve for x
    x = 11,701,181,584/76,102
  6. Step 6: Final answer
    x = 153,756.56

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.