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Finding the Third Proportional to 213,177 and 458,612

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Solution

The third proportional to 213,177 and 458,612 is: 986,621.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,177 : 458,612 = 458,612 : x
  2. Step 2: Convert to fraction form
    213,177/458,612 = 458,612/x
  3. Step 3: Cross multiply
    213,177x = 458,612 × 458,612
  4. Step 4: Simplify right side
    213,177x = 210,324,966,544
  5. Step 5: Solve for x
    x = 210,324,966,544/213,177
  6. Step 6: Final answer
    x = 986,621.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.