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Finding the Third Proportional to 256,349.25 and 561,906

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Solution

The third proportional to 256,349.25 and 561,906 is: 1,231,672.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,349.25 : 561,906 = 561,906 : x
  2. Step 2: Convert to fraction form
    256,349.25/561,906 = 561,906/x
  3. Step 3: Cross multiply
    256,349.25x = 561,906 × 561,906
  4. Step 4: Simplify right side
    256,349.25x = 315,738,352,836
  5. Step 5: Solve for x
    x = 315,738,352,836/256,349.25
  6. Step 6: Final answer
    x = 1,231,672.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.