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Finding the Third Proportional to 178,281.94 and 396,425.38

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Solution

The third proportional to 178,281.94 and 396,425.38 is: 881,486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,281.94 : 396,425.38 = 396,425.38 : x
  2. Step 2: Convert to fraction form
    178,281.94/396,425.38 = 396,425.38/x
  3. Step 3: Cross multiply
    178,281.94x = 396,425.38 × 396,425.38
  4. Step 4: Simplify right side
    178,281.94x = 157,153,077,943.89
  5. Step 5: Solve for x
    x = 157,153,077,943.89/178,281.94
  6. Step 6: Final answer
    x = 881,486.26

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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.