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Finding the Third Proportional to 256,360 and 550,640

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Solution

The third proportional to 256,360 and 550,640 is: 1,182,729.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,360 : 550,640 = 550,640 : x
  2. Step 2: Convert to fraction form
    256,360/550,640 = 550,640/x
  3. Step 3: Cross multiply
    256,360x = 550,640 × 550,640
  4. Step 4: Simplify right side
    256,360x = 303,204,409,600
  5. Step 5: Solve for x
    x = 303,204,409,600/256,360
  6. Step 6: Final answer
    x = 1,182,729.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.