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Finding the Third Proportional to 257,712.75 and 281,076.75

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Solution

The third proportional to 257,712.75 and 281,076.75 is: 306,558.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,712.75 : 281,076.75 = 281,076.75 : x
  2. Step 2: Convert to fraction form
    257,712.75/281,076.75 = 281,076.75/x
  3. Step 3: Cross multiply
    257,712.75x = 281,076.75 × 281,076.75
  4. Step 4: Simplify right side
    257,712.75x = 79,004,139,390.56
  5. Step 5: Solve for x
    x = 79,004,139,390.56/257,712.75
  6. Step 6: Final answer
    x = 306,558.91

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.