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Finding the Third Proportional to 221,152.78 and 483,709.06

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Solution

The third proportional to 221,152.78 and 483,709.06 is: 1,057,976.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,152.78 : 483,709.06 = 483,709.06 : x
  2. Step 2: Convert to fraction form
    221,152.78/483,709.06 = 483,709.06/x
  3. Step 3: Cross multiply
    221,152.78x = 483,709.06 × 483,709.06
  4. Step 4: Simplify right side
    221,152.78x = 233,974,455,255.15
  5. Step 5: Solve for x
    x = 233,974,455,255.15/221,152.78
  6. Step 6: Final answer
    x = 1,057,976.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.