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Finding the Third Proportional to 71,780 and 110,181

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Solution

The third proportional to 71,780 and 110,181 is: 169,125.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,780 : 110,181 = 110,181 : x
  2. Step 2: Convert to fraction form
    71,780/110,181 = 110,181/x
  3. Step 3: Cross multiply
    71,780x = 110,181 × 110,181
  4. Step 4: Simplify right side
    71,780x = 12,139,852,761
  5. Step 5: Solve for x
    x = 12,139,852,761/71,780
  6. Step 6: Final answer
    x = 169,125.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.