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Finding the Third Proportional to 81,369 and 176,271

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Solution

The third proportional to 81,369 and 176,271 is: 381,858.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,369 : 176,271 = 176,271 : x
  2. Step 2: Convert to fraction form
    81,369/176,271 = 176,271/x
  3. Step 3: Cross multiply
    81,369x = 176,271 × 176,271
  4. Step 4: Simplify right side
    81,369x = 31,071,465,441
  5. Step 5: Solve for x
    x = 31,071,465,441/81,369
  6. Step 6: Final answer
    x = 381,858.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.