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Finding the Third Proportional to 85,855 and 187,977

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Solution

The third proportional to 85,855 and 187,977 is: 411,570.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,855 : 187,977 = 187,977 : x
  2. Step 2: Convert to fraction form
    85,855/187,977 = 187,977/x
  3. Step 3: Cross multiply
    85,855x = 187,977 × 187,977
  4. Step 4: Simplify right side
    85,855x = 35,335,352,529
  5. Step 5: Solve for x
    x = 35,335,352,529/85,855
  6. Step 6: Final answer
    x = 411,570.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.