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Finding the Third Proportional to 178,321.50 and 386,380.13

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Solution

The third proportional to 178,321.50 and 386,380.13 is: 837,193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,321.50 : 386,380.13 = 386,380.13 : x
  2. Step 2: Convert to fraction form
    178,321.50/386,380.13 = 386,380.13/x
  3. Step 3: Cross multiply
    178,321.50x = 386,380.13 × 386,380.13
  4. Step 4: Simplify right side
    178,321.50x = 149,289,600,995.02
  5. Step 5: Solve for x
    x = 149,289,600,995.02/178,321.50
  6. Step 6: Final answer
    x = 837,193.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.