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Finding the Third Proportional to 155,625 and 339,924

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Solution

The third proportional to 155,625 and 339,924 is: 742,479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,625 : 339,924 = 339,924 : x
  2. Step 2: Convert to fraction form
    155,625/339,924 = 339,924/x
  3. Step 3: Cross multiply
    155,625x = 339,924 × 339,924
  4. Step 4: Simplify right side
    155,625x = 115,548,325,776
  5. Step 5: Solve for x
    x = 115,548,325,776/155,625
  6. Step 6: Final answer
    x = 742,479.20

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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.