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Finding the Third Proportional to 256,867 and 557,504

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Solution

The third proportional to 256,867 and 557,504 is: 1,210,006.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,867 : 557,504 = 557,504 : x
  2. Step 2: Convert to fraction form
    256,867/557,504 = 557,504/x
  3. Step 3: Cross multiply
    256,867x = 557,504 × 557,504
  4. Step 4: Simplify right side
    256,867x = 310,810,710,016
  5. Step 5: Solve for x
    x = 310,810,710,016/256,867
  6. Step 6: Final answer
    x = 1,210,006.38

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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.