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Finding the Third Proportional to 156,100.50 and 338,445.38

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Solution

The third proportional to 156,100.50 and 338,445.38 is: 733,791.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,100.50 : 338,445.38 = 338,445.38 : x
  2. Step 2: Convert to fraction form
    156,100.50/338,445.38 = 338,445.38/x
  3. Step 3: Cross multiply
    156,100.50x = 338,445.38 × 338,445.38
  4. Step 4: Simplify right side
    156,100.50x = 114,545,271,858.89
  5. Step 5: Solve for x
    x = 114,545,271,858.89/156,100.50
  6. Step 6: Final answer
    x = 733,791.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.