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Finding the Third Proportional to 79,901.50 and 177,539

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Solution

The third proportional to 79,901.50 and 177,539 is: 394,486.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,901.50 : 177,539 = 177,539 : x
  2. Step 2: Convert to fraction form
    79,901.50/177,539 = 177,539/x
  3. Step 3: Cross multiply
    79,901.50x = 177,539 × 177,539
  4. Step 4: Simplify right side
    79,901.50x = 31,520,096,521
  5. Step 5: Solve for x
    x = 31,520,096,521/79,901.50
  6. Step 6: Final answer
    x = 394,486.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.