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Finding the Third Proportional to 256,702 and 556,172

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Solution

The third proportional to 256,702 and 556,172 is: 1,205,005.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,702 : 556,172 = 556,172 : x
  2. Step 2: Convert to fraction form
    256,702/556,172 = 556,172/x
  3. Step 3: Cross multiply
    256,702x = 556,172 × 556,172
  4. Step 4: Simplify right side
    256,702x = 309,327,293,584
  5. Step 5: Solve for x
    x = 309,327,293,584/256,702
  6. Step 6: Final answer
    x = 1,205,005.39

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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.