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Finding the Third Proportional to 81,476 and 173,716

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Solution

The third proportional to 81,476 and 173,716 is: 370,382.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,476 : 173,716 = 173,716 : x
  2. Step 2: Convert to fraction form
    81,476/173,716 = 173,716/x
  3. Step 3: Cross multiply
    81,476x = 173,716 × 173,716
  4. Step 4: Simplify right side
    81,476x = 30,177,248,656
  5. Step 5: Solve for x
    x = 30,177,248,656/81,476
  6. Step 6: Final answer
    x = 370,382.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.