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Finding the Third Proportional to 203,789 and 479,506

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Solution

The third proportional to 203,789 and 479,506 is: 1,128,255.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,789 : 479,506 = 479,506 : x
  2. Step 2: Convert to fraction form
    203,789/479,506 = 479,506/x
  3. Step 3: Cross multiply
    203,789x = 479,506 × 479,506
  4. Step 4: Simplify right side
    203,789x = 229,926,004,036
  5. Step 5: Solve for x
    x = 229,926,004,036/203,789
  6. Step 6: Final answer
    x = 1,128,255.22

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.