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Finding the Third Proportional to 137,874.50 and 221,208.75

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Solution

The third proportional to 137,874.50 and 221,208.75 is: 354,911.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,874.50 : 221,208.75 = 221,208.75 : x
  2. Step 2: Convert to fraction form
    137,874.50/221,208.75 = 221,208.75/x
  3. Step 3: Cross multiply
    137,874.50x = 221,208.75 × 221,208.75
  4. Step 4: Simplify right side
    137,874.50x = 48,933,311,076.56
  5. Step 5: Solve for x
    x = 48,933,311,076.56/137,874.50
  6. Step 6: Final answer
    x = 354,911.97

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.