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Finding the Third Proportional to 213,430 and 494,047

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Solution

The third proportional to 213,430 and 494,047 is: 1,143,618.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,430 : 494,047 = 494,047 : x
  2. Step 2: Convert to fraction form
    213,430/494,047 = 494,047/x
  3. Step 3: Cross multiply
    213,430x = 494,047 × 494,047
  4. Step 4: Simplify right side
    213,430x = 244,082,438,209
  5. Step 5: Solve for x
    x = 244,082,438,209/213,430
  6. Step 6: Final answer
    x = 1,143,618.23

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.