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Finding the Third Proportional to 302,620.50 and 445,169.25

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Solution

The third proportional to 302,620.50 and 445,169.25 is: 654,865.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,620.50 : 445,169.25 = 445,169.25 : x
  2. Step 2: Convert to fraction form
    302,620.50/445,169.25 = 445,169.25/x
  3. Step 3: Cross multiply
    302,620.50x = 445,169.25 × 445,169.25
  4. Step 4: Simplify right side
    302,620.50x = 198,175,661,145.56
  5. Step 5: Solve for x
    x = 198,175,661,145.56/302,620.50
  6. Step 6: Final answer
    x = 654,865.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.