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Finding the Third Proportional to 189,673.50 and 408,753

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Solution

The third proportional to 189,673.50 and 408,753 is: 880,876.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,673.50 : 408,753 = 408,753 : x
  2. Step 2: Convert to fraction form
    189,673.50/408,753 = 408,753/x
  3. Step 3: Cross multiply
    189,673.50x = 408,753 × 408,753
  4. Step 4: Simplify right side
    189,673.50x = 167,079,015,009
  5. Step 5: Solve for x
    x = 167,079,015,009/189,673.50
  6. Step 6: Final answer
    x = 880,876.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.