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Finding the Third Proportional to 256,480 and 550,832

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Solution

The third proportional to 256,480 and 550,832 is: 1,183,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,480 : 550,832 = 550,832 : x
  2. Step 2: Convert to fraction form
    256,480/550,832 = 550,832/x
  3. Step 3: Cross multiply
    256,480x = 550,832 × 550,832
  4. Step 4: Simplify right side
    256,480x = 303,415,892,224
  5. Step 5: Solve for x
    x = 303,415,892,224/256,480
  6. Step 6: Final answer
    x = 1,183,000.20

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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.