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Finding the Third Proportional to 221,622.75 and 322,744.50

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Solution

The third proportional to 221,622.75 and 322,744.50 is: 470,005.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,622.75 : 322,744.50 = 322,744.50 : x
  2. Step 2: Convert to fraction form
    221,622.75/322,744.50 = 322,744.50/x
  3. Step 3: Cross multiply
    221,622.75x = 322,744.50 × 322,744.50
  4. Step 4: Simplify right side
    221,622.75x = 104,164,012,280.25
  5. Step 5: Solve for x
    x = 104,164,012,280.25/221,622.75
  6. Step 6: Final answer
    x = 470,005.96

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.