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Finding the Third Proportional to 256,921 and 365,191

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Solution

The third proportional to 256,921 and 365,191 is: 519,087.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,921 : 365,191 = 365,191 : x
  2. Step 2: Convert to fraction form
    256,921/365,191 = 365,191/x
  3. Step 3: Cross multiply
    256,921x = 365,191 × 365,191
  4. Step 4: Simplify right side
    256,921x = 133,364,466,481
  5. Step 5: Solve for x
    x = 133,364,466,481/256,921
  6. Step 6: Final answer
    x = 519,087.45

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.