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Finding the Third Proportional to 305,221.50 and 638,323.50

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Solution

The third proportional to 305,221.50 and 638,323.50 is: 1,334,954.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,221.50 : 638,323.50 = 638,323.50 : x
  2. Step 2: Convert to fraction form
    305,221.50/638,323.50 = 638,323.50/x
  3. Step 3: Cross multiply
    305,221.50x = 638,323.50 × 638,323.50
  4. Step 4: Simplify right side
    305,221.50x = 407,456,890,652.25
  5. Step 5: Solve for x
    x = 407,456,890,652.25/305,221.50
  6. Step 6: Final answer
    x = 1,334,954.75

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.