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Finding the Third Proportional to 218,834 and 471,146

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Solution

The third proportional to 218,834 and 471,146 is: 1,014,369.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,834 : 471,146 = 471,146 : x
  2. Step 2: Convert to fraction form
    218,834/471,146 = 471,146/x
  3. Step 3: Cross multiply
    218,834x = 471,146 × 471,146
  4. Step 4: Simplify right side
    218,834x = 221,978,553,316
  5. Step 5: Solve for x
    x = 221,978,553,316/218,834
  6. Step 6: Final answer
    x = 1,014,369.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.