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Finding the Third Proportional to 218,551 and 476,819

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Solution

The third proportional to 218,551 and 476,819 is: 1,040,289.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,551 : 476,819 = 476,819 : x
  2. Step 2: Convert to fraction form
    218,551/476,819 = 476,819/x
  3. Step 3: Cross multiply
    218,551x = 476,819 × 476,819
  4. Step 4: Simplify right side
    218,551x = 227,356,358,761
  5. Step 5: Solve for x
    x = 227,356,358,761/218,551
  6. Step 6: Final answer
    x = 1,040,289.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.