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Finding the Third Proportional to 85,540 and 125,178

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Solution

The third proportional to 85,540 and 125,178 is: 183,183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,540 : 125,178 = 125,178 : x
  2. Step 2: Convert to fraction form
    85,540/125,178 = 125,178/x
  3. Step 3: Cross multiply
    85,540x = 125,178 × 125,178
  4. Step 4: Simplify right side
    85,540x = 15,669,531,684
  5. Step 5: Solve for x
    x = 15,669,531,684/85,540
  6. Step 6: Final answer
    x = 183,183.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.