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Finding the Third Proportional to 256,170.94 and 556,638.75

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Solution

The third proportional to 256,170.94 and 556,638.75 is: 1,209,531.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,170.94 : 556,638.75 = 556,638.75 : x
  2. Step 2: Convert to fraction form
    256,170.94/556,638.75 = 556,638.75/x
  3. Step 3: Cross multiply
    256,170.94x = 556,638.75 × 556,638.75
  4. Step 4: Simplify right side
    256,170.94x = 309,846,698,001.56
  5. Step 5: Solve for x
    x = 309,846,698,001.56/256,170.94
  6. Step 6: Final answer
    x = 1,209,531.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.