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Finding the Third Proportional to 223,821 and 486,972

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Solution

The third proportional to 223,821 and 486,972 is: 1,059,515.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,821 : 486,972 = 486,972 : x
  2. Step 2: Convert to fraction form
    223,821/486,972 = 486,972/x
  3. Step 3: Cross multiply
    223,821x = 486,972 × 486,972
  4. Step 4: Simplify right side
    223,821x = 237,141,728,784
  5. Step 5: Solve for x
    x = 237,141,728,784/223,821
  6. Step 6: Final answer
    x = 1,059,515.10

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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.