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Finding the Third Proportional to 155,772 and 339,610

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Solution

The third proportional to 155,772 and 339,610 is: 740,408.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,772 : 339,610 = 339,610 : x
  2. Step 2: Convert to fraction form
    155,772/339,610 = 339,610/x
  3. Step 3: Cross multiply
    155,772x = 339,610 × 339,610
  4. Step 4: Simplify right side
    155,772x = 115,334,952,100
  5. Step 5: Solve for x
    x = 115,334,952,100/155,772
  6. Step 6: Final answer
    x = 740,408.75

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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.