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Finding the Third Proportional to 120,695.63 and 256,983.75

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Solution

The third proportional to 120,695.63 and 256,983.75 is: 547,166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,695.63 : 256,983.75 = 256,983.75 : x
  2. Step 2: Convert to fraction form
    120,695.63/256,983.75 = 256,983.75/x
  3. Step 3: Cross multiply
    120,695.63x = 256,983.75 × 256,983.75
  4. Step 4: Simplify right side
    120,695.63x = 66,040,647,764.06
  5. Step 5: Solve for x
    x = 66,040,647,764.06/120,695.63
  6. Step 6: Final answer
    x = 547,166.87

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.