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Finding the Third Proportional to 120,322.13 and 256,128.75

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Solution

The third proportional to 120,322.13 and 256,128.75 is: 545,219.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,322.13 : 256,128.75 = 256,128.75 : x
  2. Step 2: Convert to fraction form
    120,322.13/256,128.75 = 256,128.75/x
  3. Step 3: Cross multiply
    120,322.13x = 256,128.75 × 256,128.75
  4. Step 4: Simplify right side
    120,322.13x = 65,601,936,576.56
  5. Step 5: Solve for x
    x = 65,601,936,576.56/120,322.13
  6. Step 6: Final answer
    x = 545,219.23

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Why These Related Problems?

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