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Finding the Third Proportional to 275,143.50 and 415,489.50

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Solution

The third proportional to 275,143.50 and 415,489.50 is: 627,423.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,143.50 : 415,489.50 = 415,489.50 : x
  2. Step 2: Convert to fraction form
    275,143.50/415,489.50 = 415,489.50/x
  3. Step 3: Cross multiply
    275,143.50x = 415,489.50 × 415,489.50
  4. Step 4: Simplify right side
    275,143.50x = 172,631,524,610.25
  5. Step 5: Solve for x
    x = 172,631,524,610.25/275,143.50
  6. Step 6: Final answer
    x = 627,423.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.