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Finding the Third Proportional to 275,284.50 and 425,472.75

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Solution

The third proportional to 275,284.50 and 425,472.75 is: 657,599.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,284.50 : 425,472.75 = 425,472.75 : x
  2. Step 2: Convert to fraction form
    275,284.50/425,472.75 = 425,472.75/x
  3. Step 3: Cross multiply
    275,284.50x = 425,472.75 × 425,472.75
  4. Step 4: Simplify right side
    275,284.50x = 181,027,060,992.56
  5. Step 5: Solve for x
    x = 181,027,060,992.56/275,284.50
  6. Step 6: Final answer
    x = 657,599.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.