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Finding the Third Proportional to 81,082 and 119,538

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Solution

The third proportional to 81,082 and 119,538 is: 176,233.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,082 : 119,538 = 119,538 : x
  2. Step 2: Convert to fraction form
    81,082/119,538 = 119,538/x
  3. Step 3: Cross multiply
    81,082x = 119,538 × 119,538
  4. Step 4: Simplify right side
    81,082x = 14,289,333,444
  5. Step 5: Solve for x
    x = 14,289,333,444/81,082
  6. Step 6: Final answer
    x = 176,233.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.