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Finding the Third Proportional to 225,706.50 and 490,288.50

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Solution

The third proportional to 225,706.50 and 490,288.50 is: 1,065,023.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,706.50 : 490,288.50 = 490,288.50 : x
  2. Step 2: Convert to fraction form
    225,706.50/490,288.50 = 490,288.50/x
  3. Step 3: Cross multiply
    225,706.50x = 490,288.50 × 490,288.50
  4. Step 4: Simplify right side
    225,706.50x = 240,382,813,232.25
  5. Step 5: Solve for x
    x = 240,382,813,232.25/225,706.50
  6. Step 6: Final answer
    x = 1,065,023.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.