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Finding the Third Proportional to 223,929 and 492,138

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Solution

The third proportional to 223,929 and 492,138 is: 1,081,591.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,929 : 492,138 = 492,138 : x
  2. Step 2: Convert to fraction form
    223,929/492,138 = 492,138/x
  3. Step 3: Cross multiply
    223,929x = 492,138 × 492,138
  4. Step 4: Simplify right side
    223,929x = 242,199,811,044
  5. Step 5: Solve for x
    x = 242,199,811,044/223,929
  6. Step 6: Final answer
    x = 1,081,591.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.