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Finding the Third Proportional to 256,133.75 and 411,538.25

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Solution

The third proportional to 256,133.75 and 411,538.25 is: 661,231.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,133.75 : 411,538.25 = 411,538.25 : x
  2. Step 2: Convert to fraction form
    256,133.75/411,538.25 = 411,538.25/x
  3. Step 3: Cross multiply
    256,133.75x = 411,538.25 × 411,538.25
  4. Step 4: Simplify right side
    256,133.75x = 169,363,731,213.06
  5. Step 5: Solve for x
    x = 169,363,731,213.06/256,133.75
  6. Step 6: Final answer
    x = 661,231.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.