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Finding the Third Proportional to 54,497 and 73,236

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Solution

The third proportional to 54,497 and 73,236 is: 98,418.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,497 : 73,236 = 73,236 : x
  2. Step 2: Convert to fraction form
    54,497/73,236 = 73,236/x
  3. Step 3: Cross multiply
    54,497x = 73,236 × 73,236
  4. Step 4: Simplify right side
    54,497x = 5,363,511,696
  5. Step 5: Solve for x
    x = 5,363,511,696/54,497
  6. Step 6: Final answer
    x = 98,418.48

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.