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Finding the Third Proportional to 223,931 and 492,142

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Solution

The third proportional to 223,931 and 492,142 is: 1,081,599.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,931 : 492,142 = 492,142 : x
  2. Step 2: Convert to fraction form
    223,931/492,142 = 492,142/x
  3. Step 3: Cross multiply
    223,931x = 492,142 × 492,142
  4. Step 4: Simplify right side
    223,931x = 242,203,748,164
  5. Step 5: Solve for x
    x = 242,203,748,164/223,931
  6. Step 6: Final answer
    x = 1,081,599.90

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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.