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Finding the Third Proportional to 128,563.50 and 192,722.25

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Solution

The third proportional to 128,563.50 and 192,722.25 is: 288,898.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,563.50 : 192,722.25 = 192,722.25 : x
  2. Step 2: Convert to fraction form
    128,563.50/192,722.25 = 192,722.25/x
  3. Step 3: Cross multiply
    128,563.50x = 192,722.25 × 192,722.25
  4. Step 4: Simplify right side
    128,563.50x = 37,141,865,645.06
  5. Step 5: Solve for x
    x = 37,141,865,645.06/128,563.50
  6. Step 6: Final answer
    x = 288,898.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.