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Finding the Third Proportional to 256,161 and 556,620

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Solution

The third proportional to 256,161 and 556,620 is: 1,209,496.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,161 : 556,620 = 556,620 : x
  2. Step 2: Convert to fraction form
    256,161/556,620 = 556,620/x
  3. Step 3: Cross multiply
    256,161x = 556,620 × 556,620
  4. Step 4: Simplify right side
    256,161x = 309,825,824,400
  5. Step 5: Solve for x
    x = 309,825,824,400/256,161
  6. Step 6: Final answer
    x = 1,209,496.47

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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.