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Finding the Third Proportional to 77,229 and 115,167

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Solution

The third proportional to 77,229 and 115,167 is: 171,741.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,229 : 115,167 = 115,167 : x
  2. Step 2: Convert to fraction form
    77,229/115,167 = 115,167/x
  3. Step 3: Cross multiply
    77,229x = 115,167 × 115,167
  4. Step 4: Simplify right side
    77,229x = 13,263,437,889
  5. Step 5: Solve for x
    x = 13,263,437,889/77,229
  6. Step 6: Final answer
    x = 171,741.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.