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Finding the Third Proportional to 81,056 and 174,597

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Solution

The third proportional to 81,056 and 174,597 is: 376,087.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,056 : 174,597 = 174,597 : x
  2. Step 2: Convert to fraction form
    81,056/174,597 = 174,597/x
  3. Step 3: Cross multiply
    81,056x = 174,597 × 174,597
  4. Step 4: Simplify right side
    81,056x = 30,484,112,409
  5. Step 5: Solve for x
    x = 30,484,112,409/81,056
  6. Step 6: Final answer
    x = 376,087.06

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.