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Finding the Third Proportional to 76,137 and 108,221

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Solution

The third proportional to 76,137 and 108,221 is: 153,825.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,137 : 108,221 = 108,221 : x
  2. Step 2: Convert to fraction form
    76,137/108,221 = 108,221/x
  3. Step 3: Cross multiply
    76,137x = 108,221 × 108,221
  4. Step 4: Simplify right side
    76,137x = 11,711,784,841
  5. Step 5: Solve for x
    x = 11,711,784,841/76,137
  6. Step 6: Final answer
    x = 153,825.14

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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.