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Finding the Third Proportional to 200,036.25 and 309,531.38

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Solution

The third proportional to 200,036.25 and 309,531.38 is: 478,961.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,036.25 : 309,531.38 = 309,531.38 : x
  2. Step 2: Convert to fraction form
    200,036.25/309,531.38 = 309,531.38/x
  3. Step 3: Cross multiply
    200,036.25x = 309,531.38 × 309,531.38
  4. Step 4: Simplify right side
    200,036.25x = 95,809,672,109.39
  5. Step 5: Solve for x
    x = 95,809,672,109.39/200,036.25
  6. Step 6: Final answer
    x = 478,961.55

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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.