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Finding the Third Proportional to 213,321 and 458,271

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Solution

The third proportional to 213,321 and 458,271 is: 984,489.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,321 : 458,271 = 458,271 : x
  2. Step 2: Convert to fraction form
    213,321/458,271 = 458,271/x
  3. Step 3: Cross multiply
    213,321x = 458,271 × 458,271
  4. Step 4: Simplify right side
    213,321x = 210,012,309,441
  5. Step 5: Solve for x
    x = 210,012,309,441/213,321
  6. Step 6: Final answer
    x = 984,489.62

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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.