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Finding the Third Proportional to 156,930 and 223,555

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Solution

The third proportional to 156,930 and 223,555 is: 318,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,930 : 223,555 = 223,555 : x
  2. Step 2: Convert to fraction form
    156,930/223,555 = 223,555/x
  3. Step 3: Cross multiply
    156,930x = 223,555 × 223,555
  4. Step 4: Simplify right side
    156,930x = 49,976,838,025
  5. Step 5: Solve for x
    x = 49,976,838,025/156,930
  6. Step 6: Final answer
    x = 318,465.80

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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.