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Finding the Third Proportional to 139,726.50 and 197,520.75

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Solution

The third proportional to 139,726.50 and 197,520.75 is: 279,220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,726.50 : 197,520.75 = 197,520.75 : x
  2. Step 2: Convert to fraction form
    139,726.50/197,520.75 = 197,520.75/x
  3. Step 3: Cross multiply
    139,726.50x = 197,520.75 × 197,520.75
  4. Step 4: Simplify right side
    139,726.50x = 39,014,446,680.56
  5. Step 5: Solve for x
    x = 39,014,446,680.56/139,726.50
  6. Step 6: Final answer
    x = 279,220.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.