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Finding the Third Proportional to 213,183 and 493,578

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Solution

The third proportional to 213,183 and 493,578 is: 1,142,770.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,183 : 493,578 = 493,578 : x
  2. Step 2: Convert to fraction form
    213,183/493,578 = 493,578/x
  3. Step 3: Cross multiply
    213,183x = 493,578 × 493,578
  4. Step 4: Simplify right side
    213,183x = 243,619,242,084
  5. Step 5: Solve for x
    x = 243,619,242,084/213,183
  6. Step 6: Final answer
    x = 1,142,770.49

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.