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Finding the Third Proportional to 178,382.25 and 371,520

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Solution

The third proportional to 178,382.25 and 371,520 is: 773,771.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,382.25 : 371,520 = 371,520 : x
  2. Step 2: Convert to fraction form
    178,382.25/371,520 = 371,520/x
  3. Step 3: Cross multiply
    178,382.25x = 371,520 × 371,520
  4. Step 4: Simplify right side
    178,382.25x = 138,027,110,400
  5. Step 5: Solve for x
    x = 138,027,110,400/178,382.25
  6. Step 6: Final answer
    x = 773,771.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.