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Finding the Third Proportional to 200,259 and 309,975

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Solution

The third proportional to 200,259 and 309,975 is: 479,801.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,259 : 309,975 = 309,975 : x
  2. Step 2: Convert to fraction form
    200,259/309,975 = 309,975/x
  3. Step 3: Cross multiply
    200,259x = 309,975 × 309,975
  4. Step 4: Simplify right side
    200,259x = 96,084,500,625
  5. Step 5: Solve for x
    x = 96,084,500,625/200,259
  6. Step 6: Final answer
    x = 479,801.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.