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Finding the Third Proportional to 223,536 and 479,028

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Solution

The third proportional to 223,536 and 479,028 is: 1,026,536.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,536 : 479,028 = 479,028 : x
  2. Step 2: Convert to fraction form
    223,536/479,028 = 479,028/x
  3. Step 3: Cross multiply
    223,536x = 479,028 × 479,028
  4. Step 4: Simplify right side
    223,536x = 229,467,824,784
  5. Step 5: Solve for x
    x = 229,467,824,784/223,536
  6. Step 6: Final answer
    x = 1,026,536.33

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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.