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Finding the Third Proportional to 54,056 and 81,732

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Solution

The third proportional to 54,056 and 81,732 is: 123,577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,056 : 81,732 = 81,732 : x
  2. Step 2: Convert to fraction form
    54,056/81,732 = 81,732/x
  3. Step 3: Cross multiply
    54,056x = 81,732 × 81,732
  4. Step 4: Simplify right side
    54,056x = 6,680,119,824
  5. Step 5: Solve for x
    x = 6,680,119,824/54,056
  6. Step 6: Final answer
    x = 123,577.77

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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.