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Finding the Third Proportional to 275,530 and 425,571

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Solution

The third proportional to 275,530 and 425,571 is: 657,317.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,530 : 425,571 = 425,571 : x
  2. Step 2: Convert to fraction form
    275,530/425,571 = 425,571/x
  3. Step 3: Cross multiply
    275,530x = 425,571 × 425,571
  4. Step 4: Simplify right side
    275,530x = 181,110,676,041
  5. Step 5: Solve for x
    x = 181,110,676,041/275,530
  6. Step 6: Final answer
    x = 657,317.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.