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Finding the Third Proportional to 137,728.88 and 210,550.75

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Solution

The third proportional to 137,728.88 and 210,550.75 is: 321,875.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,728.88 : 210,550.75 = 210,550.75 : x
  2. Step 2: Convert to fraction form
    137,728.88/210,550.75 = 210,550.75/x
  3. Step 3: Cross multiply
    137,728.88x = 210,550.75 × 210,550.75
  4. Step 4: Simplify right side
    137,728.88x = 44,331,618,325.56
  5. Step 5: Solve for x
    x = 44,331,618,325.56/137,728.88
  6. Step 6: Final answer
    x = 321,875.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.