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Finding the Third Proportional to 256,440.75 and 558,035.25

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Solution

The third proportional to 256,440.75 and 558,035.25 is: 1,214,328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,440.75 : 558,035.25 = 558,035.25 : x
  2. Step 2: Convert to fraction form
    256,440.75/558,035.25 = 558,035.25/x
  3. Step 3: Cross multiply
    256,440.75x = 558,035.25 × 558,035.25
  4. Step 4: Simplify right side
    256,440.75x = 311,403,340,242.56
  5. Step 5: Solve for x
    x = 311,403,340,242.56/256,440.75
  6. Step 6: Final answer
    x = 1,214,328.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.