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Finding the Third Proportional to 40,111 and 85,385

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Solution

The third proportional to 40,111 and 85,385 is: 181,760.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,111 : 85,385 = 85,385 : x
  2. Step 2: Convert to fraction form
    40,111/85,385 = 85,385/x
  3. Step 3: Cross multiply
    40,111x = 85,385 × 85,385
  4. Step 4: Simplify right side
    40,111x = 7,290,598,225
  5. Step 5: Solve for x
    x = 7,290,598,225/40,111
  6. Step 6: Final answer
    x = 181,760.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.