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Finding the Third Proportional to 120,865.50 and 256,138.03

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Solution

The third proportional to 120,865.50 and 256,138.03 is: 542,807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,865.50 : 256,138.03 = 256,138.03 : x
  2. Step 2: Convert to fraction form
    120,865.50/256,138.03 = 256,138.03/x
  3. Step 3: Cross multiply
    120,865.50x = 256,138.03 × 256,138.03
  4. Step 4: Simplify right side
    120,865.50x = 65,606,691,052.63
  5. Step 5: Solve for x
    x = 65,606,691,052.63/120,865.50
  6. Step 6: Final answer
    x = 542,807.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.