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Finding the Third Proportional to 200,448 and 300,934.50

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Solution

The third proportional to 200,448 and 300,934.50 is: 451,795.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,448 : 300,934.50 = 300,934.50 : x
  2. Step 2: Convert to fraction form
    200,448/300,934.50 = 300,934.50/x
  3. Step 3: Cross multiply
    200,448x = 300,934.50 × 300,934.50
  4. Step 4: Simplify right side
    200,448x = 90,561,573,290.25
  5. Step 5: Solve for x
    x = 90,561,573,290.25/200,448
  6. Step 6: Final answer
    x = 451,795.84

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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.