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Finding the Third Proportional to 156,966 and 223,609

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Solution

The third proportional to 156,966 and 223,609 is: 318,546.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,966 : 223,609 = 223,609 : x
  2. Step 2: Convert to fraction form
    156,966/223,609 = 223,609/x
  3. Step 3: Cross multiply
    156,966x = 223,609 × 223,609
  4. Step 4: Simplify right side
    156,966x = 50,000,984,881
  5. Step 5: Solve for x
    x = 50,000,984,881/156,966
  6. Step 6: Final answer
    x = 318,546.60

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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.