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Finding the Third Proportional to 155,387 and 339,826

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Solution

The third proportional to 155,387 and 339,826 is: 743,187.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,387 : 339,826 = 339,826 : x
  2. Step 2: Convert to fraction form
    155,387/339,826 = 339,826/x
  3. Step 3: Cross multiply
    155,387x = 339,826 × 339,826
  4. Step 4: Simplify right side
    155,387x = 115,481,710,276
  5. Step 5: Solve for x
    x = 115,481,710,276/155,387
  6. Step 6: Final answer
    x = 743,187.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.