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Finding the Third Proportional to 129,012 and 182,178

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Solution

The third proportional to 129,012 and 182,178 is: 257,253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,012 : 182,178 = 182,178 : x
  2. Step 2: Convert to fraction form
    129,012/182,178 = 182,178/x
  3. Step 3: Cross multiply
    129,012x = 182,178 × 182,178
  4. Step 4: Simplify right side
    129,012x = 33,188,823,684
  5. Step 5: Solve for x
    x = 33,188,823,684/129,012
  6. Step 6: Final answer
    x = 257,253.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.