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Finding the Third Proportional to 223,008 and 476,544

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Solution

The third proportional to 223,008 and 476,544 is: 1,018,323.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,008 : 476,544 = 476,544 : x
  2. Step 2: Convert to fraction form
    223,008/476,544 = 476,544/x
  3. Step 3: Cross multiply
    223,008x = 476,544 × 476,544
  4. Step 4: Simplify right side
    223,008x = 227,094,183,936
  5. Step 5: Solve for x
    x = 227,094,183,936/223,008
  6. Step 6: Final answer
    x = 1,018,323.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.