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Finding the Third Proportional to 256,180.50 and 409,254.75

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Solution

The third proportional to 256,180.50 and 409,254.75 is: 653,794.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,180.50 : 409,254.75 = 409,254.75 : x
  2. Step 2: Convert to fraction form
    256,180.50/409,254.75 = 409,254.75/x
  3. Step 3: Cross multiply
    256,180.50x = 409,254.75 × 409,254.75
  4. Step 4: Simplify right side
    256,180.50x = 167,489,450,397.56
  5. Step 5: Solve for x
    x = 167,489,450,397.56/256,180.50
  6. Step 6: Final answer
    x = 653,794.69

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.