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Finding the Third Proportional to 178,103.81 and 275,425.31

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Solution

The third proportional to 178,103.81 and 275,425.31 is: 425,926.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,103.81 : 275,425.31 = 275,425.31 : x
  2. Step 2: Convert to fraction form
    178,103.81/275,425.31 = 275,425.31/x
  3. Step 3: Cross multiply
    178,103.81x = 275,425.31 × 275,425.31
  4. Step 4: Simplify right side
    178,103.81x = 75,859,102,765.72
  5. Step 5: Solve for x
    x = 75,859,102,765.72/178,103.81
  6. Step 6: Final answer
    x = 425,926.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.