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Finding the Third Proportional to 156,772 and 223,398

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Solution

The third proportional to 156,772 and 223,398 is: 318,339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,772 : 223,398 = 223,398 : x
  2. Step 2: Convert to fraction form
    156,772/223,398 = 223,398/x
  3. Step 3: Cross multiply
    156,772x = 223,398 × 223,398
  4. Step 4: Simplify right side
    156,772x = 49,906,666,404
  5. Step 5: Solve for x
    x = 49,906,666,404/156,772
  6. Step 6: Final answer
    x = 318,339.16

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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.