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Finding the Third Proportional to 73,056 and 104,496

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Solution

The third proportional to 73,056 and 104,496 is: 149,466.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,056 : 104,496 = 104,496 : x
  2. Step 2: Convert to fraction form
    73,056/104,496 = 104,496/x
  3. Step 3: Cross multiply
    73,056x = 104,496 × 104,496
  4. Step 4: Simplify right side
    73,056x = 10,919,414,016
  5. Step 5: Solve for x
    x = 10,919,414,016/73,056
  6. Step 6: Final answer
    x = 149,466.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.