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Finding the Third Proportional to 177,777 and 259,645.50

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Solution

The third proportional to 177,777 and 259,645.50 is: 379,215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,777 : 259,645.50 = 259,645.50 : x
  2. Step 2: Convert to fraction form
    177,777/259,645.50 = 259,645.50/x
  3. Step 3: Cross multiply
    177,777x = 259,645.50 × 259,645.50
  4. Step 4: Simplify right side
    177,777x = 67,415,785,670.25
  5. Step 5: Solve for x
    x = 67,415,785,670.25/177,777
  6. Step 6: Final answer
    x = 379,215.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.