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Finding the Third Proportional to 81,273.38 and 173,813.34

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Solution

The third proportional to 81,273.38 and 173,813.34 is: 371,721.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,273.38 : 173,813.34 = 173,813.34 : x
  2. Step 2: Convert to fraction form
    81,273.38/173,813.34 = 173,813.34/x
  3. Step 3: Cross multiply
    81,273.38x = 173,813.34 × 173,813.34
  4. Step 4: Simplify right side
    81,273.38x = 30,211,078,465.56
  5. Step 5: Solve for x
    x = 30,211,078,465.56/81,273.38
  6. Step 6: Final answer
    x = 371,721.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.