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Finding the Third Proportional to 156,986 and 223,639

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Solution

The third proportional to 156,986 and 223,639 is: 318,591.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,986 : 223,639 = 223,639 : x
  2. Step 2: Convert to fraction form
    156,986/223,639 = 223,639/x
  3. Step 3: Cross multiply
    156,986x = 223,639 × 223,639
  4. Step 4: Simplify right side
    156,986x = 50,014,402,321
  5. Step 5: Solve for x
    x = 50,014,402,321/156,986
  6. Step 6: Final answer
    x = 318,591.48

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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.