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Finding the Third Proportional to 218,297 and 479,018

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Solution

The third proportional to 218,297 and 479,018 is: 1,051,128.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,297 : 479,018 = 479,018 : x
  2. Step 2: Convert to fraction form
    218,297/479,018 = 479,018/x
  3. Step 3: Cross multiply
    218,297x = 479,018 × 479,018
  4. Step 4: Simplify right side
    218,297x = 229,458,244,324
  5. Step 5: Solve for x
    x = 229,458,244,324/218,297
  6. Step 6: Final answer
    x = 1,051,128.71

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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.