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Finding the Third Proportional to 220,936.50 and 345,622.50

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Solution

The third proportional to 220,936.50 and 345,622.50 is: 540,675.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,936.50 : 345,622.50 = 345,622.50 : x
  2. Step 2: Convert to fraction form
    220,936.50/345,622.50 = 345,622.50/x
  3. Step 3: Cross multiply
    220,936.50x = 345,622.50 × 345,622.50
  4. Step 4: Simplify right side
    220,936.50x = 119,454,912,506.25
  5. Step 5: Solve for x
    x = 119,454,912,506.25/220,936.50
  6. Step 6: Final answer
    x = 540,675.32

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.