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Finding the Third Proportional to 256,698 and 556,164

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Solution

The third proportional to 256,698 and 556,164 is: 1,204,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,698 : 556,164 = 556,164 : x
  2. Step 2: Convert to fraction form
    256,698/556,164 = 556,164/x
  3. Step 3: Cross multiply
    256,698x = 556,164 × 556,164
  4. Step 4: Simplify right side
    256,698x = 309,318,394,896
  5. Step 5: Solve for x
    x = 309,318,394,896/256,698
  6. Step 6: Final answer
    x = 1,204,989.50

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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.