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Finding the Third Proportional to 155,716.17 and 339,573.09

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Solution

The third proportional to 155,716.17 and 339,573.09 is: 740,513.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,716.17 : 339,573.09 = 339,573.09 : x
  2. Step 2: Convert to fraction form
    155,716.17/339,573.09 = 339,573.09/x
  3. Step 3: Cross multiply
    155,716.17x = 339,573.09 × 339,573.09
  4. Step 4: Simplify right side
    155,716.17x = 115,309,885,998.95
  5. Step 5: Solve for x
    x = 115,309,885,998.95/155,716.17
  6. Step 6: Final answer
    x = 740,513.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.