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Finding the Third Proportional to 156,970 and 223,615

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Solution

The third proportional to 156,970 and 223,615 is: 318,555.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,970 : 223,615 = 223,615 : x
  2. Step 2: Convert to fraction form
    156,970/223,615 = 223,615/x
  3. Step 3: Cross multiply
    156,970x = 223,615 × 223,615
  4. Step 4: Simplify right side
    156,970x = 50,003,668,225
  5. Step 5: Solve for x
    x = 50,003,668,225/156,970
  6. Step 6: Final answer
    x = 318,555.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.