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Finding the Third Proportional to 273,542.75 and 439,505

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Solution

The third proportional to 273,542.75 and 439,505 is: 706,158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,542.75 : 439,505 = 439,505 : x
  2. Step 2: Convert to fraction form
    273,542.75/439,505 = 439,505/x
  3. Step 3: Cross multiply
    273,542.75x = 439,505 × 439,505
  4. Step 4: Simplify right side
    273,542.75x = 193,164,645,025
  5. Step 5: Solve for x
    x = 193,164,645,025/273,542.75
  6. Step 6: Final answer
    x = 706,158.89

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.