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Finding the Third Proportional to 54,006 and 81,755

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Solution

The third proportional to 54,006 and 81,755 is: 123,761.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,006 : 81,755 = 81,755 : x
  2. Step 2: Convert to fraction form
    54,006/81,755 = 81,755/x
  3. Step 3: Cross multiply
    54,006x = 81,755 × 81,755
  4. Step 4: Simplify right side
    54,006x = 6,683,880,025
  5. Step 5: Solve for x
    x = 6,683,880,025/54,006
  6. Step 6: Final answer
    x = 123,761.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.