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Finding the Third Proportional to 256,533 and 556,868

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Solution

The third proportional to 256,533 and 556,868 is: 1,208,819.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,533 : 556,868 = 556,868 : x
  2. Step 2: Convert to fraction form
    256,533/556,868 = 556,868/x
  3. Step 3: Cross multiply
    256,533x = 556,868 × 556,868
  4. Step 4: Simplify right side
    256,533x = 310,101,969,424
  5. Step 5: Solve for x
    x = 310,101,969,424/256,533
  6. Step 6: Final answer
    x = 1,208,819.02

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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.