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Finding the Third Proportional to 81,228.50 and 168,957

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Solution

The third proportional to 81,228.50 and 168,957 is: 351,434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,228.50 : 168,957 = 168,957 : x
  2. Step 2: Convert to fraction form
    81,228.50/168,957 = 168,957/x
  3. Step 3: Cross multiply
    81,228.50x = 168,957 × 168,957
  4. Step 4: Simplify right side
    81,228.50x = 28,546,467,849
  5. Step 5: Solve for x
    x = 28,546,467,849/81,228.50
  6. Step 6: Final answer
    x = 351,434.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.