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Finding the Third Proportional to 78,777 and 118,224

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Solution

The third proportional to 78,777 and 118,224 is: 177,423.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,777 : 118,224 = 118,224 : x
  2. Step 2: Convert to fraction form
    78,777/118,224 = 118,224/x
  3. Step 3: Cross multiply
    78,777x = 118,224 × 118,224
  4. Step 4: Simplify right side
    78,777x = 13,976,914,176
  5. Step 5: Solve for x
    x = 13,976,914,176/78,777
  6. Step 6: Final answer
    x = 177,423.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.