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Finding the Third Proportional to 40,757 and 85,938

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Solution

The third proportional to 40,757 and 85,938 is: 181,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,757 : 85,938 = 85,938 : x
  2. Step 2: Convert to fraction form
    40,757/85,938 = 85,938/x
  3. Step 3: Cross multiply
    40,757x = 85,938 × 85,938
  4. Step 4: Simplify right side
    40,757x = 7,385,339,844
  5. Step 5: Solve for x
    x = 7,385,339,844/40,757
  6. Step 6: Final answer
    x = 181,204.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.