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Finding the Third Proportional to 77,781 and 166,224

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Solution

The third proportional to 77,781 and 166,224 is: 355,233.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,781 : 166,224 = 166,224 : x
  2. Step 2: Convert to fraction form
    77,781/166,224 = 166,224/x
  3. Step 3: Cross multiply
    77,781x = 166,224 × 166,224
  4. Step 4: Simplify right side
    77,781x = 27,630,418,176
  5. Step 5: Solve for x
    x = 27,630,418,176/77,781
  6. Step 6: Final answer
    x = 355,233.52

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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.