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Finding the Third Proportional to 270,200 and 405,444

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Solution

The third proportional to 270,200 and 405,444 is: 608,382.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,200 : 405,444 = 405,444 : x
  2. Step 2: Convert to fraction form
    270,200/405,444 = 405,444/x
  3. Step 3: Cross multiply
    270,200x = 405,444 × 405,444
  4. Step 4: Simplify right side
    270,200x = 164,384,837,136
  5. Step 5: Solve for x
    x = 164,384,837,136/270,200
  6. Step 6: Final answer
    x = 608,382.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.