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Finding the Third Proportional to 76,238 and 108,921

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Solution

The third proportional to 76,238 and 108,921 is: 155,615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,238 : 108,921 = 108,921 : x
  2. Step 2: Convert to fraction form
    76,238/108,921 = 108,921/x
  3. Step 3: Cross multiply
    76,238x = 108,921 × 108,921
  4. Step 4: Simplify right side
    76,238x = 11,863,784,241
  5. Step 5: Solve for x
    x = 11,863,784,241/76,238
  6. Step 6: Final answer
    x = 155,615.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.