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Finding the Third Proportional to 123,261.75 and 256,000.50

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Solution

The third proportional to 123,261.75 and 256,000.50 is: 531,683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,261.75 : 256,000.50 = 256,000.50 : x
  2. Step 2: Convert to fraction form
    123,261.75/256,000.50 = 256,000.50/x
  3. Step 3: Cross multiply
    123,261.75x = 256,000.50 × 256,000.50
  4. Step 4: Simplify right side
    123,261.75x = 65,536,256,000.25
  5. Step 5: Solve for x
    x = 65,536,256,000.25/123,261.75
  6. Step 6: Final answer
    x = 531,683.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.