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Finding the Third Proportional to 303,385.50 and 455,078.25

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Solution

The third proportional to 303,385.50 and 455,078.25 is: 682,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,385.50 : 455,078.25 = 455,078.25 : x
  2. Step 2: Convert to fraction form
    303,385.50/455,078.25 = 455,078.25/x
  3. Step 3: Cross multiply
    303,385.50x = 455,078.25 × 455,078.25
  4. Step 4: Simplify right side
    303,385.50x = 207,096,213,623.06
  5. Step 5: Solve for x
    x = 207,096,213,623.06/303,385.50
  6. Step 6: Final answer
    x = 682,617.38

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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.