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Finding the Third Proportional to 156,778 and 223,407

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Solution

The third proportional to 156,778 and 223,407 is: 318,352.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,778 : 223,407 = 223,407 : x
  2. Step 2: Convert to fraction form
    156,778/223,407 = 223,407/x
  3. Step 3: Cross multiply
    156,778x = 223,407 × 223,407
  4. Step 4: Simplify right side
    156,778x = 49,910,687,649
  5. Step 5: Solve for x
    x = 49,910,687,649/156,778
  6. Step 6: Final answer
    x = 318,352.62

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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.