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Finding the Third Proportional to 256,400 and 556,064

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Solution

The third proportional to 256,400 and 556,064 is: 1,205,956.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,400 : 556,064 = 556,064 : x
  2. Step 2: Convert to fraction form
    256,400/556,064 = 556,064/x
  3. Step 3: Cross multiply
    256,400x = 556,064 × 556,064
  4. Step 4: Simplify right side
    256,400x = 309,207,172,096
  5. Step 5: Solve for x
    x = 309,207,172,096/256,400
  6. Step 6: Final answer
    x = 1,205,956.21

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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.