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Finding the Third Proportional to 256,170 and 556,636

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Solution

The third proportional to 256,170 and 556,636 is: 1,209,523.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,170 : 556,636 = 556,636 : x
  2. Step 2: Convert to fraction form
    256,170/556,636 = 556,636/x
  3. Step 3: Cross multiply
    256,170x = 556,636 × 556,636
  4. Step 4: Simplify right side
    256,170x = 309,843,636,496
  5. Step 5: Solve for x
    x = 309,843,636,496/256,170
  6. Step 6: Final answer
    x = 1,209,523.51

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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.