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Finding the Third Proportional to 275,197.50 and 389,696.06

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Solution

The third proportional to 275,197.50 and 389,696.06 is: 551,832.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,197.50 : 389,696.06 = 389,696.06 : x
  2. Step 2: Convert to fraction form
    275,197.50/389,696.06 = 389,696.06/x
  3. Step 3: Cross multiply
    275,197.50x = 389,696.06 × 389,696.06
  4. Step 4: Simplify right side
    275,197.50x = 151,863,021,128.00
  5. Step 5: Solve for x
    x = 151,863,021,128.00/275,197.50
  6. Step 6: Final answer
    x = 551,832.85

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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.