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Finding the Third Proportional to 213,178.50 and 458,615

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Solution

The third proportional to 213,178.50 and 458,615 is: 986,627.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,178.50 : 458,615 = 458,615 : x
  2. Step 2: Convert to fraction form
    213,178.50/458,615 = 458,615/x
  3. Step 3: Cross multiply
    213,178.50x = 458,615 × 458,615
  4. Step 4: Simplify right side
    213,178.50x = 210,327,718,225
  5. Step 5: Solve for x
    x = 210,327,718,225/213,178.50
  6. Step 6: Final answer
    x = 986,627.25

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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.